Question: a. If b is any nonzero real number, prove that |1/b| = 1/ |b|. b. Prove that for any numbers a and b 0.

a. If b is any nonzero real number, prove that |1/b| = 1/ |b|.


b. Prove thatb = lal 101


for any numbers a and b ≠ 0.

b = lal 101

Step by Step Solution

★★★★★

3.29 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To prove that 1b 1b we need to show that the absolute value of the reciprocal of any nonzero r... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Q:

A three-phase transformer bank is to handle 400 kVA and have a 34.5/13.8-kV voltage ratio. Find the rating of each individual transformer in the bank (high voltage, low voltage, tums ratio, and...

Q:

(a) Explain why -x 2 will always be a negative number for any nonzero real number selected for x. (b) Explain why (-x 2 ) will always be a positive number for any nonzero real number selected for x.

Q:

If a and b are nonzero real numbers and Find A2. A- 2 a 1-ab

Q:

Please give step by step answers. This is mathematical reasoning class Thank you! (1) Prove that for each a: E Z the product 23(3: + 3) is an even integer. (2) Prove by contradiction that no two...

Q:

Please solve with reasoning as well 3. Prove or Disprove the following statements: (20 pts) (a) For any two different rational numbers, there's another rational number strictly between them. (b) The...

Q:

Please solve this with detailed reasoning 2. Consider the following theorem: (20pts) "For an integer n, if n is odd, then n3 is odd." (a) Verify that the theorem is true using direct proof. (b) Prove...

Q:

Prove or Disprove the following statements: (a) For any two different rational numbers, there's another rational number strictly between them. (b) The product of two irrational numbers is an...

Q:

i need help with these, thank you 1.20 (Challenge) Magnitude of the vector v. Show work. (Section 2.9) Knowing the angle between a unit vector i and unit vector j is 120, calculate a numerical value...

Q:

Can anybody help me out on this question? please explain nicely and clearly. Thank you for the help 2. Consider the following real matrix A (all calculations are ordinary real number calculations) 1...

Q:

Question 15 (2 points) Fuzzy sets are used in artificial intelligence. Each element in the universal set U has a degree of membership, which is a real number between 0 and 1 (including 0 and 1), in a...

Q:

During the 2019/20 income year, Anna, a minor, earned the following income. Anna had no deductions and was in full time education: Wages from her weekend waitressing job: $20,000 ($5,000 PAYG tax...

Q:

In a November 16, 2016, Corvallis Gazette-Times article, it was reported that a new drug given along with a cholesterol-lowering statin medicine has proved able to shrink plaque that is clogging...

Q:

Which of the following ratios would most interest a banker who is rhinking anout making a long - term loan to a company? Return on assets , return on equity, dividend yield, debt to equity

Q:

26. A deck of 52 playing cards, containing all 4 aces, is randomly divided into 4 piles of 13 cards each. Define events E1,E2,E3, and E4 as follows: E1 = {the first pile has exactly 1 ace}, E2 = {the...

Q:

Problems 6776 are based on previously learned material. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or...

Q:

Problems 51 60 are based on previously learned material. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or...

Q:

Problems 51 60 are based on previously learned material. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or...

Q:

Sunland Company is considering the purchase of a new machine. The invoice price of the machine is $ 1 2 0 , 0 0 0 , freight charges are estimated to be $ 3 , 0 0 0 , and installation costs are...

Q:

[The following information applies to the questions displayed below.J Commercial Services.com Corporation provides business-to-business services on the Internet. Data concerning the most recent year...

Q:

On October 1, 2018, Sonoma Company leased equipment from Napa Inc. in lease payable in five equal annual payments of $500,000, beginning Oct 1, 2018. Similar transactions have carried an 11% interest...