Question: Is |a b| < |a| + |b| always true? Explain.

Is |a − b| < |a| + |b| always true? Explain.

Step by Step Solution

★★★★★

3.23 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

No the inequality a b a b is not always true Counterexample Consider a ... 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 Basic Technical Mathematics Questions!

Q:

Let A be a 4 Ã 3 matrix with a2 = a3. If b = a1 + a2 + a3, then the system Ax = b will have infinitely many solutions. In this case answer true if the statement is always true and false...

Q:

If A and B are nonsingular n à n matrices, then A + B is also nonsingular and (A + B)-1 = A-1 + B-1. In this case answer true if the statement is always true and false otherwise. In the case...

Q:

If A and B are nonsingular n à n matrices, then AB is also nonsingular and (AB)-1 = A-1B-1. In this case answer true if the statement is always true and false otherwise. In the case of a true...

Q:

Calculate cost of ending inventory and cost of goods sold using periodic FIFO, LIFO and Weighted Average Cost methods. Make use of Excel/Sheets capabilities by using as many formulas and functions as...

Q:

If the statement is always true, explain why. If not, give a counterexample.If f is a function such that lim f(x) exists, then f(0) exists.X-0Choose the correct answer below.O A. The statement is...

Q:

I just need help for the answers on the right side for the questions under C and help with the weighted avg ending inv and cost of good sold. but if you want to do it all and post, that would be good...

Q:

a. In Problems 49-54, discuss the validity of each statement. If the statement is always true, explain why. If it is not always true, give a counter example. b. If /is a decreasing function on...

Q:

In Problems 5560, discuss the validity of each statement. If the statement is always true, explain why. If it is not always true, give a counterexample. If f(x) = 0 for all x in [a, b], then ff(x) dx...

Q:

In Problem discuss the validity of each statement. If the statement is always true, explain why. If it is not always true, give a counterexample. If f(x) = 2x on [0, 10] and n is a positive integer,...

Q:

In Problem discuss the validity of each statement. If the statement is always true, explain why. If it is not always true, give a counterexample. If f(x) = 2x on [0, 10], then there is a positive...

Q:

Mr. Donnarumma began to operate Verratti Plumbing, a residential plumbing services business, as a proprietorship, choosing a December 31 year-end. Until quite recently, he has been withdrawing...

Q:

The number of bank failures per year among those insured by the Federal Deposit Insurance Company has a mean of 7.0. The failures occur independently. What is the probability that: (a) There will be...

Q:

12.11 An experiment was conducted to study the size of squid eaten by sharks and tuna. The regressor variables are characteristics of the beaks of the squid. The data are given as follows: x1 x2 x3...

Q:

Draw a WND for Your Turn 11-7 using the opposite grammar order from your original design (if you didnt do it, draw two WNDs, one in each grammar order).Which is best? Why?

Q:

Using the Laplace transform and showing the details of your work, solve the IVP: y' 1 = 4y 2 - 8 cos 4t, y' 2 = -3y 1 - 9 sin 4t, y 1 (0) = 0, y 2 (0) = 3

Q:

Model and solve by the Laplace transform: Show that, by Kirchhoffs Voltage Law, the currents in the network in Fig. 153 are obtained from the system Solve this system, assuming that R = 10...

Q:

Using Theorem 3, find f(t) if L(F) equals: ,2

Q:

During last month, P&G Inc. made the following sales and purchases of pencil erasers. July 01 Purchase 400 items @ $10.00 each July 08 Purchase 600 items @ $7.00 each July 19 Sold 500 items Sales...

Q:

Assume Joe invests a total of $10,000 in a company - $5,000 of which is his own money and $5,000 which he borrowed at a 10% interest rate. If the company's stock value decreases by 5% in one year at...

Q:

I know this question has alot of Required parts but I do not understand it and can use all the help I can get. The management of Zigby Manufacturing prepared the following estimated balance sheet for...