Chapter 2: Q. 437 (page 208)

In the following exercises, solve
(a) $|x| = 3$
(b) $|y| = - 1$
(c) $|z| = 0$

Short Answer

Expert verified

The required solution is

(a) $x = \pm 3$

(b) No solution

Step by step solution

Part (a) Step 1: Given information

$|x| = 3$

Step 2:Calculation

The equivalent equations are

$x = - 3 o r x = 3 \Rightarrow x = \pm 3$

Part (b) Step 1 : Given information

$|y| = - 1$

Part (b) Step 2: Calculation

No solution, since an absolute value is always positive.

Part (c) Step 1: Given information

$|z| = 0$

Part (c) Step 2: Calculation

$|z| = 0 \Rightarrow z = - 0 o r z = 0 S i n c e - 0 = 0 z = 0$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, solve
(a) $|x| = 3$
(b) $|y| = - 1$
(c) $|z| = 0$

Short Answer

Step by step solution

Part (a) Step 1: Given information

Step 2:Calculation

Part (b) Step 1 : Given information

Part (b) Step 2: Calculation

Part (c) Step 1: Given information

Part (c) Step 2: Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Mechanics Maths

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve(a) x=3(b) y=-1(c) z=0

Short Answer

Step by step solution

Part (a) Step 1: Given information

Step 2:Calculation

Part (b) Step 1 : Given information

Part (b) Step 2: Calculation

Part (c) Step 1: Given information

Part (c) Step 2: Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Pure Maths

Mechanics Maths

Applied Mathematics

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve
(a) $|x| = 3$
(b) $|y| = - 1$
(c) $|z| = 0$