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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

(a) Write a symbolic statement that represents the circuit.(b) Construct a truth table to determine when the lightbulb will be on. That is, determine which switches must be open and which switches
Fill in the blanks with an appropriate word, phrase, or symbol(s).(a) The conditional is symbolized by → and is read _________(b) The biconditional is symbolized by ↔ and is read ________
Construct a truth table for the given statement.[~ (p → r)] ∧ q
Fill in the blanks with an appropriate word, phrase, or symbol(s).The following Euler diagram represents the statement _________ A€™s are B€™s. U A В
Construct a truth table for the statement.p ∨ ~ p
Write each compound statement in words.p: The coffee is Maxwell House.q: The coffee is hot.r: The coffee is strong.~ q ∧ r
Fill in the blanks with an appropriate word, phrase, or symbol(s).A conditional statement that is a tautology is known as a(n) _________.
Fill in the blanks with an appropriate word, phrase, or symbol(s).Given the conditional statement p → q, the contrapositive of the conditional statement in symbolic form is
Fill in the blank to identify the standard form of the argument.Fallacy of the ______. b. p- ~p
(a) Write a symbolic statement that represents the circuit.(b) Construct a truth table to determine when the lightbulb will be on. That is, determine which switches must be open and which switches
Construct a truth table for the given statement.(q ↔ ~ r) ∨ p
All kangaroos are marsupials.Bounder is a kangaroo.∴ Bounder is a marsupial.Use an Euler diagram to determine whether the syllogism is valid or invalid.
Construct a truth table for the statement.q ∨ ~ p
Write each compound statement in words.p: The coffee is Maxwell House.q: The coffee is hot.r: The coffee is strong.q → (r ∧ ~ p)
Construct a truth table for the statement.~ (p → q)
Construct a truth table for the statement.~ p → ~ q
Fill in the blank to identify the standard form of the argument.Law of ________. р—д
Fill in the blanks with an appropriate word, phrase, or symbol(s).Of the converse, inverse, and contrapositive, only the contrapositive of the conditional statement is _________________ to the
(a) Write a symbolic statement that represents the circuit.(b) Construct a truth table to determine when the lightbulb will be on. That is, determine which switches must be open and which switches
Find the truth value of the statement.2 + 6 = 8 or 7 - 12 = 5
All planets are satellites.Picard is a satellite.∴ Picard is a planet.Use an Euler diagram to determine whether the syllogism is valid or invalid.
Construct a truth table for the statement.p ∧ ~ q
Write each compound statement in words.p: The coffee is Maxwell House.q: The coffee is hot.r: The coffee is strong.p ↔ ~ r
Construct a truth table for the statement.~ p ↔ ~ q
Fill in the blank to identify the standard form of the argument.Disjunctive ______. :.я
Use a truth table to determine whether the two statements are equivalent.p → q, ~ p ∨ q
(a) Write a symbolic statement that represents the circuit.(b) Construct a truth table to determine when the lightbulb will be on. That is, determine which switches must be open and which switches
Harrison Ford is an actor or Gerald Ford was a president, if and only if the Mississippi is a river.Find the truth value of the statement.
All yo-yos are toys.All Slinkies are toys.ˆ´ All Slinkies are yo-yos.Use an Euler diagram to determine whether the syllogism is valid or invalid.
Construct a truth table for the statement.~ p ∨ ~ q
Write each compound statement in words.p: The coffee is Maxwell House.q: The coffee is hot.r: The coffee is strong.~ p ↔ (r ∧ ~ q)
Construct a truth table for the statement.p ↔ (q ∨ p)
Construct a truth table for the statement.~ (p ↔ q)
Fill in the blank to identify the standard form of the argument.Fallacy of the _______ .
Use a truth table to determine whether the two statements are equivalent.~ (p → q), p ∧ ~q
Given that p is true, q is false, and r is true, determine the truth value of the statement.(~ p ∧q) ↔ (q ∨~ r)
All dolphins are mammals.All mammals are vertebrates.∴ All dolphins are vertebrates.Use an Euler diagram to determine whether the syllogism is valid or invalid.
Construct a truth table for the statement.~ (p ∨ ~ q)
Construct a truth table for the statement.(p → q) ↔ p
Fill in the blank to identify the standard form of the argument.Law of ________ . er
Use a truth table to determine whether the two statements are equivalent.~ q → ~ p, p → q
(a) Write a symbolic statement that represents the circuit.(b) Construct a truth table to determine when the lightbulb will be on. That is, determine which switches must be open and which switches
Given that p is true, q is false, and r is true, determine the truth value of the statement.[~(r → ~ p)] ∧ (q → p)
No PCs are Macs.All Dells are PCs.∴ No Dells are Macs.Use an Euler diagram to determine whether the syllogism is valid or invalid.
Construct a truth table for the statement.~ (p ∧ ~ q)
Construct a truth table for the statement.(p ↔ q) → p
Fill in the blank to identify the standard form of the argument.Law of _________. ~9 ~p
Use a truth table to determine whether the two statements are equivalent.q → p, ~ p → ~ q
(a) Write a symbolic statement that represents the circuit.(b) Construct a truth table to determine when the lightbulb will be on. That is, determine which switches must be open and which switches
All Jeffs are Bills.No Bills are Dougs.∴ No Jeffs are Dougs.Use an Euler diagram to determine whether the syllogism is valid or invalid.
Determine whether the pair of statements are equivalent.~ p ∨ q, ~ (p ∧ ~ q).
Construct a truth table for the statement.Construct a truth table for the statement.~ (~ p ∧ ~ q)
If we take the table to Antiques Roadshow, then we will learn the table’s value.Write the (a) Converse, (b) Inverse (c) Contrapositive for the given statement.
If the coffee is strong, then the coffee is not Maxwell House.the statements for p, q, and r to write the statement in symbolic form.p: The coffee is Maxwell House.q: The coffee is hot.r: The coffee
Use a truth table to determine whether the two statements are equivalent.(p ∨ q) ∧ r, p ∨ (q ∧ r)
Determine whether the argument is valid or invalid. You may compare the argument to a standard form, or use a truth table. а —Ь a- ~a :. ~b
Draw a switching circuit that represents the symbolic statement.p ∨ q
No lawn weeds are flowers.Sedge is not a flower.∴ Sedge is a lawn weed.Use an Euler diagram to determine whether the syllogism is valid or invalid.
Determine which, if any, of the three statements are equivalent.(a) If the bird is red, then it is a cardinal.(b) The bird is not red or it is a cardinal.(c) If the bird is not red, then it is not a
If Andres plays in the World Cup, then he will play for Spain.Whether the statement is a simple statement or a compound statement. If it is a compound statement, indicate whether it is a negation,
Construct a truth table for the statement.p ∨ (~ q ∨ r)
If the coffee is strong then the coffee is hot, or the coffee is not Maxwell House.Use the statements for p, q, and r to write the statement in symbolic form.p: The coffee is Maxwell House.q: The
Construct a truth table for the statement.(~q ∧ p) → ~ q
Use a truth table to determine whether the two statements are equivalent.p ∧ (q ∨ r) , ( p ∧ q) ∨ r
Determine whether the argument is valid or invalid. You may compare the argument to a standard form, or use a truth table. .. d
Draw a switching circuit that represents the symbolic statement.p ∨ (q ∧ r)
No jockeys weigh more than 200 pounds.Deb is not a jockey.∴ Deb weighs more than 200 pounds.Use an Euler diagram to determine whether the syllogism is valid or invalid.
Determine which, if any, of the three statements are equivalent.(a) It is not true that the test is today or the concert is tonight.(b) The test is not today and the concert is not tonight.(c) If the
Inhibor will be admitted to law school if and only if he earns his bachelor’s degree.Whether the statement is a simple statement or a compound statement. If it is a compound statement, indicate
Construct a truth table for the statement.(p ∨ ~ q) ∧ r
The coffee is hot if and only if the coffee is Maxwell House, and the coffee is not strong.Use the statements for p, q, and r to write the statement in symbolic form.p: The coffee is Maxwell House.q:
Construct a truth table for the statement.q → (p → ~ q)
Use a truth table to determine whether the two statements are equivalent.(p → q) ∧ (q → p), (p ↔ q)
Determine whether the argument is valid or invalid. You may compare the argument to a standard form, or use a truth table. ef
Draw a switching circuit that represents the symbolic statement.(p ∨ q) ∧ r
Some mushrooms are poisonous.A morel is a mushroom.∴ A morel is poisonous.Use an Euler diagram to determine whether the syllogism is valid or invalid.
Translate the following argument into symbolic form. Determine whether the argument is valid or invalid by comparing the argument to a recognized form or by using a truth table.If the soccer team
Construct a truth table for the statement.(p ∧ ~ q) ∨ r
The coffee is strong and the coffee is hot, or the coffee is not Maxwell House.Use the statements for p, q, and r to write the statement in symbolic form.p: The coffee is Maxwell House.q: The coffee
Construct a truth table for the statement.(p ∨ q) ↔ ( p ∧ q)
Use a truth table to determine whether the two statements are equivalent.(p → q) → r, p → (q → r)
Determine whether the argument is valid or invalid. You may compare the argument to a standard form, or use a truth table. >h →i
Draw a switching circuit that represents the symbolic statement.~ p ∧ (q ∨ r)
Use an Euler diagram to determine whether the syllogism is valid or is a fallacy.All living things contain carbon.Roger contains carbon.∴ Therefore, Roger is a living thing.
Construct a truth table for the statement.~ p ∧ (q ∨ r)
If the temperature is not above 32°, then we will go ice fishing at O’Leary’s Lake.Use De Morgan’s laws, the fact that (p → q) ⇔ (~ p ∨ q), the fact that, ~ (p → q) ⇔ (p ∧ ~
It is false that the coffee is strong and the coffee is hot.Use the statements for p, q, and r to write the statement in symbolic form.p: The coffee is Maxwell House.q: The coffee is hot.r: The
Construct a truth table for the statement.(p ∨ q) ∧ ~ p
Determine whether the argument is valid or invalid. You may compare the argument to a standard form, or use a truth table. -k .j
Draw a switching circuit that represents the symbolic statement.(p ∨ q) ∧ (r ∨ s)
Some stamps are collectors’ items.Some collectors’ items are valuable.∴ Some stamps are valuable.Use an Euler diagram to determine whether the syllogism is valid or invalid.
All Gryffindors are brave.Write the negation of the statement.
All Mustangs are Fords.Write the negation of the statement.
Construct a truth table for the statement.(r ∨ ~p) ∧ ~ q
Construct a truth table for the statement.q ↔ (p ∨ ~ q)
Construct a truth table for the statement.(~ p → q) ∧ r
Use De Morgan’s laws to determine whether the two statements are equivalent.~ ( p ∧ q), ~ p ∨ ~ q
Determine whether the argument is valid or invalid. You may compare the argument to a standard form, or use a truth table. т m. ~т ~1
Draw a switching circuit that represents the symbolic statement.(p ∧ q) ∨ (r ∧ s)
Some chemicals are poisonous.Some poisonous things are beautiful.∴ Some chemicals are beautiful.Use an Euler diagram to determine whether the syllogism is valid or invalid.

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