Question: Show that if |a 5| < 12 and |b 8| < 12, then|(a + b) 13| < 1. Use the triangle inequality

Show that if |a − 5| < 12 and |b − 8| < 12, then|(a + b) − 13| < 1. Use the triangle inequality (|a + b| ≤ |a| + |b|).

Step by Step Solution

★★★★★

3.47 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

la b 13 a 5 b... 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 Calculus 4th Questions!

Q:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Q:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-6. On December 12, Irene purchased the building where her store is located. She paid...

Q:

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-7. Ivan sold the following securities during the year and received a Form 1099-B that...

Q:

Hi Experts, I could use help solving both parts a & b. Will upvote as soon as it is answered correctly - thanks for your help! 3. Big Jim plows snow for five residential customers in northern New...

Q:

What this Lab Is About: Learn to declare & create void and non-void functions with or without input parameters. Learn to call different type of fucntions from main() program Coding Guidelines for All...

Q:

Claim 1, Target O (G.SRT.C): Define trigonometric ratios and solve problems involving right triangles. 93. Consider this right triangle. What is the value of cos(A)? 13 A. 5/12 B. 12/13 12 C. 5 / 13...

Q:

1. Markets and competition '7 goods or services. Additionally, there are '7 buyers and sellers. Because of In a perfectly competitive market, all producers sell these two characteristics, both buyers...

Q:

NVC Math 0415 Name Final Exam Date Evaluate each expression. Show your work. 1) (-6--4). 12 . -4 .2 2) y' + z- |5 (v) - y); use y = 2, and z = 2 12 - 5 Simplify each expression. Show your work. 3)...

Q:

Pone Descriptive Analytic Project Spring 2022 Task: Utilizing your assigned file only (see file 3. File Assignments), perform a descriptive analysis over the data that provides a comprehensive...

Q:

please answer questions Req5-9 Required information (The following information applies to the questions displayed below.) The Munchkin Theater is a nonprofit organization devoted to staging plays for...

Q:

Wile E. Coyote has placed an order with Acme Manufacturing for a bag of bird seed, a 50 foot length of fuse and and 4 pieces of TNT (dynamite). He evidently plans to hide the TNT in a pile of bird...

Q:

Calculate income from operations and net income Net cash provided by operation ..............$ 49,000 Cost of goods sold ...................$155,000 Selling, general, and administrative expenses...

Q:

22. LO.5 In connection with the filing of a Federal gift tax return, comment on the following. a. No Federal gift tax is due. b. The gift is between spouses. c. The 2513 election to split gifts is...

Q:

4. In what way does your current program of study contribute to your ability to solve problems creatively?

Q:

If f(x) = x3 x2 + x, show that there is a number such that f(c) = 10.

Q:

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. 47. x* +x- 3 = 0, (1. 2) 49. cos r = x. (0. 1) 48. =1-x. (0, 1) 50. In x = e (1, 2)

Q:

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. 47. x* +x- 3 = 0, (1. 2) 49. cos r = x. (0. 1) 48. =1-x. (0, 1) 50. In x = e (1, 2)

Q:

In preparing its May 31, 2025 bank reconciliation, Windsor Co. has the following information available: {:[" Balance per bank statement, 5/31/25 ",$41000],[" Deposit in transit, 5/31/25 ",5900],["...

Q:

Operating income for Division M is $150,000, and operating income before service department charges is $975,000. Therefore,: a. total service department charges are $825,000. b. direct materials,...

Q:

Lynn Hardt, a management accountant with the Paibec Corporation, is evaluating whether a component MTR-2000 would continue to be manufactured by Paibec or purchased from Marley Company, an outside...