Is |a b| < |a| + |b| always true? Explain.
Question:
Is |a − b| < |a| + |b| always true? Explain.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
No the inequality a b a b is not always true Counterexample Consider a ...View the full answer
Answered By
Kenneth Mutia
I have a B.S. in Statistics from the Jomo Kenyatta University of Agriculture and technology. I have been an academic tutor for over 3 years. I have a passion for helping students reach their full potential and am dedicated to helping them succeed. I am patient and adaptable, and I have experience working with students of all ages and abilities, from elementary school to college in their various fields. I have a wide scope of diverse tutoring experience in several courses of study with significant success as a tutor.
0.00
0 Reviews
10+ Question Solved
Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
Question Posted:
Students also viewed these Mathematics questions
-
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...
-
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...
-
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...
-
Solve each system using the substitution method. If a system is inconsistent or has dependent equations, say so. -5x + 2y = -2 x + 6y = 26
-
Capilano Forest Company Ltd. (CFCL) has been owned and managed by an experienced forester, Don Strom, for 20 years. The company has performed well in the last few years, but the industry is cyclical....
-
Adel runs a construction equipment rental company, renting out loaders, generators, lifts and similar equipment on short term rentals. In the past, Adel has purchased the equipment he then rents out,...
-
Return to the data set concerning the relationship between the distance from bushland and the level of predation on seeds, introduced in Exercise 3 in Chapter 7. In the earlier analysis of these...
-
(a) The distance to the North Star, Polaris, is approximately 6.44 x 1018 m. If Polaris were to burn out today, in what year would we see it disappear? (b) How long does it take for sunlight to reach...
-
We have a futures contract for the purchase of 10,000 bushels of wheat at $3.00 per bushel maturing December 1. Who is taking the long position and the short position and what does she have to do? If...
-
For what values of x is the graph of y = x 2 + 3x above the graph of y = 2x + 6?
-
Under what conditions is |a + b| < |a| + |b|?
-
How can employers manage confl ict?
-
5. Consider the classes below and determine what is printed out by the client code. public class V { public void one(){ System.out.print("it"); } public void two(){ System.out.print("go"); } } public...
-
Consider the following closed economy short-run IS-LM model with income taxation. The economy is described by equations (1) through (6): (1) C = 200 + 0.8(Y -T); (2) T = 800+0.25Y;(3) G = 500; (4) 1...
-
(30 pts) A binary search tree is given, write a method to delete a node from the tree. Assume the successor and predecessor methods are provided, partial code is provided below. Finish the reset of...
-
Reminder: Formatting is always important in your code (comments, indentation, variable names, etc.) And please always start your Java code file with a multi-line comment listing the name of the...
-
An element is the majority of a size-n array A [1...n] if it occurs more than 1 times in the array. Design a O(log n) time algorithm to find the majority of A in the EREW PRAM model using n...
-
Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it...
-
In 1995 Miguel purchased a home for $130,000. In 2000 he sold it for $170,000 and immediately purchased another one for $180,000, which he sold in 2007 for $235,000. How much taxable capital gain, if...
-
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
-
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...
-
Using Theorem 3, find f(t) if L(F) equals: ,2
-
Show that the convexity for a zero coupon bond with m payments per year is (m) n(n + -)(1+ m m
-
Abdul Canarte , a Central Bank economist, noticed that the total group purchasing basket of goods (CPI) has gone from $149,740.00 to $344,460.00 in 8 years. With monthly compounding, what is the...
-
ABC Corporation expects sales next year to be $50,000,000. Inventory and accounts receivable (combined) will increase $8,000,000 to accommodate this sales level. The company has a profit margin of 6...
Study smarter with the SolutionInn App