Question: Suppose that |x 4| 1. (a) What is the maximum possible value of |x + 4|? (b) Show that |x 2 16|

Suppose that |x − 4| ≤ 1.
(a) What is the maximum possible value of |x + 4|?
(b) Show that |x2 − 16| ≤ 9.

Step by Step Solution

★★★★★

3.48 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a x 4 1 guarantee... 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:

What is the maximum possible value of the clamping force C in the jaws of the pliers shown in the figure if the ultimate shear stress in the 5-mm diameter pin is 340 MPa? What is the maximum...

Q:

What is the maximum possible value of the angular momentum for an outer electron in the ground state of a bromine atom?

Q:

Suppose Amazon stock is trading for $500 per share, and Amazon pays no dividends. a. What is the maximum possible price of a call option on Amazon? b. What is the maximum possible price of a put...

Q:

Suppose that |x 4| 1. What is the largest possible value of |x + 4|? Explain. Consider the function f(x) = 1 / 1 + x squared . (a) Find the domain and the range of the function f(x). (b) Find a...

Q:

Suppose that |x 4| 1. What is the largest possible value of |x + 4|? Explain. Consider the function f(x) = 1 / 1 + x squared . (a) Find the domain and the range of the function f(x). (b) Find a...

Q:

In a situation in which data are known to three significant digits, we write $6.379 \mathrm{m}=6.38 \mathrm{m}$ and $6.374 \mathrm{m}=6.37 \mathrm{m} .$ When a number ends in $5,$ we arbitrarily...

Q:

2017/4/28 Section 6.3 (Part B) [74 points] WebAssign Section 6.3 (Part B) [74 points] (Homework) Current Score : - / 74 Huizhi Liu MA 114, section 601, Spring 2017 Instructor: Lavon Page Due :...

Q:

Save Fri 19 9:52 PM 2 Chapter 10-5 401k Instructions (1) Saved to Me a Insert Draw Design Layout References Mailings Review View Zotero Commer Asial 14 A A A A ABCD ABDI Heading Style Pane Office...

Q:

Areas of regions under curves can be approximated by evaluating Riemann sums, which give the area of a collection of rectangles. In this project, we investigate special cases in which is it possible...

Q:

Student Name Enrolled ID. No MS 7004 Independent Study MS 7002 Thesis 1. Title: 2. Type of Research: 3. Background of the Research: 4. Research Objectives: 5. Research Questions: 6. Variables:...

Q:

You have been put in charge of determining the feasibility of renovating a 50-year-old local recreation facility that includes four multipurpose courts, a fitness center, and a swimming pool/aquatic...

Q:

Of a total of 100 DVDs manufactured on two machines, 20 are defective. Sixty of the total DVDs were manufactured on Machine 1, and 10 of these 60 are defective. Are the events Machine I and defective...

Q:

2. a. What is an inside lag? b. We can divide inside lags into three smaller, sequential lags. What are these, and in what order do they occur? c. Which has the smaller inside lagfiscal or monetary...

Q:

5. The opinion has often been expressed that too much emphasis on teamwork inhibits creativity. What do you think of this argument?

Q:

The gravitational force exerted by Earth on a unit mass at a distance r from the center of the planet is where. M is the mass of Earth, R is its radius, and G is the gravitational constant. Is F a...

Q:

Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x ≠ a and is continuous on R.

Q:

Suppose that a function f is continuous on [0, 1] except at 0.25 and that f (0) = 1 and f(1) = 3. Let N = 2. Sketch two possible graphs of f, one showing that f might not satisfy the conclusion of...

Q:

Find the periodic payment R required to accumulate a sum of S dollars over t years with interest earned at the rate of r %/year compounded m times a year. (Round your answer to the nearest cent.) S =...

Q:

Tutorial question External events and accounting implications It is important that entities aggregate and consider their direct and indirect exposures to the financial reporting impacts arising from...

Q:

Carley y Kingman son socios que comparten ingresos y prdidas en una proporcin de 3:2, respectivamente. El 31 de agosto, sus saldos de capital eran: Carley, $175,000 y Kingman, $150,000. En esa fecha...