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mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
Eric invested some money at 6% and $4000 less than that amount at 4%. Find the amount invested at each rate if his total annual interest income was $840. Principal Rate (in dollars) (as a decimal) X 0.06 0.04 XXXXXXXXX Interest (in dollars)
Solve each compound inequality. Graph the solution set, and write it using interval notation. x + 5 ≤ 11 and x-3≥ −1
Solve each equation. 2 1 5 -X 2 = 14
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. -6≤ VI 3 2 9=x-
Solve each compound or absolute value equation or inequality. |7-x ≤-1
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. X 4 2x 3 -10
Solve each compound inequality. Graph the solution set, and write it using interval notation. -3x > 3 and x + 3 > 0
Solve each equation. |0.02x - 1 = 2.50
A clerk has $3.50 in dimes and quarters in her cash drawer. The number of dimes is 1 less than twice the number of quarters. How many of each denomination are there?
Solve each compound or absolute value equation or inequality. |3x - 2 + 1 = 8
Solve each compound inequality. Graph the solution set, and write it using interval notation. -3x
Solve each equation. 0.04x3 = 5.96
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |5x+1|=0
Solve each compound or absolute value equation or inequality. |3 - 5x| = |2x + 8| –
Solve each compound inequality. Graph the solution set, and write it using interval notation. 3x4≤8 and -4x + 1 ≥ −15
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 5x (3+x) ≥ 2(3x + 1) -
When Jim emptied his pockets one evening, he found he had 19 nickels and dimes with a total value of $1.55. How many of each denomination did he have?
Solve each compound inequality. Graph the solution set, and write it using interval notation. 7x + 6 ≤ 48 and 4x + 3 ≥ −21 =
Solve each inequality. Graph the solution set, and write it using interval notation. |x ≥ 4
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. -2 ≤ 3x - 1 ≤ 8
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. -1 ≤6-x≤5
Two sets are specified by graphs. Graph the union of the two sets. 024 |||||||| 024
If k < 0, what is the solution set of each of the following? (a) 8x - 5 k (c) |8x - 5] = k
Solve each inequality. Graph the solution set, and write it using interval notation. 9= |x|
Which choice is the best estimate for the average rate for a trip of 405 mi that lasted 8.2 hr?A. 30 mph B. 40 mph C. 50 mph D. 60 mph
Two sets are specified by graphs. Graph the union of the two sets. -5 -5 0 0 9 6
A passenger train and a freight train leavea town at the same time and go in opposite directions. They travel at rates of 60 mph and 75 mph, respectively. How long will it take for them to be 297 mi apart? Passenger Train Freight Train Rate 60 75 Time Distance X X
A driver averaged 53 mph and took 10 hr to travel from Memphis to Chicago. What is the distance between Memphis and Chicago?
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |7x − 1| = 5x + 3|
Solve each inequality. Graph the solution set, and write it using interval notation. |r+ 5| ≥ 20
Two sets are specified by graphs. Graph the union of the two sets. 开 01 01 8 8
Two cars leave small towns 230 km apart at the same time, traveling directly toward one another. One car travels 15 km per hr slower than the other car. They pass one another 2 hr later. What are their rates? Rate Time Distance 2 2 Faster Car X Slower Car x - 15 XXXXXXXXXXX
Two sets are specified by graphs. Graph the union of the two sets. 01 01 8 8
A small plane traveled from Warsaw to Rome, averaging 164 mph. The trip took 2 hr. What is the distance from Warsaw to Rome?
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |x + 2| = |x + 4|
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |1 - 3x ≥ 4
Find the measure of each angle in the triangle. (9x - 4)º -(3x + 7) (4x+1)°-
Solve each inequality. Graph the solution set, and write it using interval notation. 8 = t + x|
Solve each compound inequality. Graph the solution set, and write it using interval notation. x≤1 or x ≤ 8
Solve each inequality. Graph the solution set, and write it using interval notation. |5x +2| > 10
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. -(x + 4) + 2 = 3x + 8
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 7x3 + 2x = 9x - 8x
Solve each compound inequality. Graph the solution set, and write it using interval notation. x ≥ 1 or or x ≥ 8
Solve each compound inequality. Graph the solution set, and write it using interval notation. x2 or x ≥5
Solve each inequality. Graph the solution set, and write it using interval notation. | 4x + 1| ≥ 21
An 85-mi trip to the beach took Susan 2 hr. During the second hour, a rainstorm caused her to average 7 mph less than she traveled during the first hour. Find her average rate for the first hour.
Solve each inequality. Graph the solution set, and write it using interval notation. 3-x>5
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |x-1| < 7
Solve each compound inequality. Graph the solution set, and write it using interval notation. x≤2 or x≤6
Solve each inequality. Graph the solution set, and write it using interval notation. 5-x>3
Solve each inequality. Graph the solution set, and write it using interval notation. -5x+3| > 12
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |2x - 3| > 11
Solve each compound inequality. Graph the solution set, and write it using interval notation. x ≥ 2 or x≤ 4
Solve each inequality. Give the solution set in interval form. 2 3 x < 6
Find three consecutive integers such that the sum of the first and third is 49 less than three times the second.
Solve each inequality. Graph the solution set, and write it using interval notation. |- 2x - 4| ≥5
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |5−x|
Solve each compound inequality. Graph the solution set, and write it using interval notation. x + 2 > 7 or 1-x>6
Solve each compound inequality. Graph the solution set, and write it using interval notation. x ≥ 5 or x≤7
Solve each inequality. Give the solution set in interval form. -5r – 4 = 11
Find three consecutive even integers such that the sum of the second and third is 44 more than the first.
The graph of the solution set of |2x + 1| = 9 is given here.Without doing any algebraic work, graph the solution set of each inequality, referring to the graph shown. -5 0 4
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 9— ≥ |1 − x|
Solve each inequality. Give the solution set in interval form. 6x+3 -4 < -3
The graph of the solution set of |3x - 4| Without doing any algebraic work, graph the solution set of the following, referring to the graph shown. -1 0 3
Solve each compound inequality. Graph the solution set, and write it using interval notation. x +1> 3 or x + 4
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |2x - 5| = |x + 4|
Solve each inequality. Give the solution set in interval form. 83x1 < 14
Solve each compound inequality. Graph the solution set, and write it using interval notation. x+1> 3 or 4x+1>5
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 8x − (1 x) = 3(1 + 3x) - 4
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 8x (x + 3) = (2x + 1) - 12 -
Solve each inequality. Graph the solution set, and write it using interval notation. VI 5
Solve each compound inequality. Graph the solution set, and write it using interval notation. -2x +1> -11 or x+1> 10
Solve each inequality. Give the solution set in interval form. 5 - (x − 2) + (x + 1) > 1 - 3
Solve each inequality. Graph the solution set, and write it using interval notation. |x < 4
Solve each compound inequality. Graph the solution set, and write it using interval notation. 4x + 1-7 or -2x + 3 ≥ 5
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |x − 5| = |x + 9|
Solve each inequality. Graph the solution set, and write it using interval notation. 9> |x|
Solve each inequality. Graph the solution set, and write it using interval notation. |r+ 5| < 20
Solve each compound inequality. Graph the solution set, and write it using interval notation. 3x + 2-7 or -2x + 1 ≤9
Express each set in simplest interval form. (-∞, -1]n[-4, ∞)
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. |x + 2 < −3
The perimeter of a rectangular playground must be no greater than 120 m. One dimension of the playground must be 22 m. Find the possible lengths of the other dimension. 22 m “
Express each set in simplest interval form. [-1, ∞) n(-∞, 9]
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 2x + 15 or 3x + 4 < 1
Solve each equation or inequality. Give the solution set in set notation for equations and in interval notation for inequalities. 1-2x ≥ 5 and 7+ 3x-2
A group of college students wanted to buy tickets to attend a performance of Motown the Musical at the Lunt-Fontanne Theatre in New York City. They could buy student mezzanine seats for a group rate of $51 per ticket for 15 tickets or more. If they had$1600 available to spend, how many tickets
Solve each inequality. Graph the solution set, and write it using interval notation. |x + +4 < 8
Solve each inequality. Graph the solution set, and write it using interval notation. |5x+2| = 10
Dr. Paul Donohue writes a syndicated column in which readers question him on a variety of health topics. Reader C. J. wrote, “Many people say they can weigh more because they have a large frame. How is frame size determined?” Here is Dr. Donohue’s response:“For a man, a wrist circumference
Express each set in simplest interval form. (5, 11] [6,∞)
Express each set in simplest interval form. (-∞, -6] [-9, ∞)
Solve each inequality. Graph the solution set, and write it using interval notation. |4x + 1| < 21
Express each set in simplest interval form. (-∞, 3) U (-∞, -2)
Solve each inequality. Graph the solution set, and write it using interval notation. 3-x ≤5
To pass algebra, a student must have an average of at least 70 on five tests. On the first four tests, a student has scores of 75, 79, 64, and 71. What possible scores on the fifth test will guarantee the student a passing grade in the class?
Solve each inequality. Graph the solution set, and write it using interval notation. 5-x ≤3
Express each set in simplest interval form. [-9,1]U (-∞, -3)
Let A = {a, b, c, d}, B = {a, c, e, f}, and C = {a, e, f, g}. Find each set.A ∩ B
Solve each inequality. Graph the solution set, and write it using interval notation. |-5x+3|< 12
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