Chapter 2: Q. 434 (page 208)

In the following equations, solve
(a) $|x| = 6$
(b) $|y| = - 3$
(c) $|z| = 0$

Short Answer

Expert verified

The required solutions are

(a) $x = \pm 6$

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

Step by step solution

Part (a) Step 1: Given information

$|x| = 6$

Part (a) Step 2: Calculation

The equivalent equations are

$x = - 6 o r x = 6 \Rightarrow x = \pm 6$

Part (b) Step 1: Given information

$|y| = - 3$

Part (b) Step 2: Calculation

No solution, since absolute value is always positive. There are no solutions to this equation.

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) $x = \pm 6$

(b) No solution

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In the following equations, solve
(a) $|x| = 6$
(b) $|y| = - 3$
(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 equations, solve(a)x=6(b)y=-3(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

Probability and Statistics

Geometry

Applied Mathematics

Logic and Functions

Calculus

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following equations, solve
(a) $|x| = 6$
(b) $|y| = - 3$
(c) $|z| = 0$