Chapter 2: Q. 435 (page 208)

In the following exercises, solve
(a) $|x| = 4$
(b) $|y| = - 5$
(c) $|z| = 0$

Short Answer

Expert verified

The required solutions are

(a) $x = \pm 4$

(b) $N o s o l u t i o n$

Step by step solution

Part (a) Step 1: Given information

$|x| = 4$

Part (a) Step 2: Calculation

The equivalent equations are

$x = - 4 o r x = 4 \Rightarrow x = \pm 4$

Part (b) Step 1: Given information

$|y| = - 5$

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

The equivalent equations are

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

The required solutions are

(a) $x = \pm 4$

(b) $N o s o l u t i o n$

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In the following exercises, solve
(a) $|x| = 4$
(b) $|y| = - 5$
(c) $|z| = 0$

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) 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

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In the following exercises, solve(a)x=4(b)y=-5(c)z=0

Short Answer

Step by step solution

Part (a) Step 1: Given information

Part (a) 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

Logic and Functions

Probability and Statistics

Geometry

Decision Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve
(a) $|x| = 4$
(b) $|y| = - 5$
(c) $|z| = 0$