Chapter 2: Q. 2.135 (page 199)

Solve (a) $| x | = 2$
(b) $| y | = - 4$
(c) $| z | = 0$

Short Answer

Expert verified

The required solution: (a) $x_{1} = - 2, x_{2} = 2$

(b) No solution

Step by step solution

Step 1. Given information.

The given functions are:

(a) $| x | = 2$

(b) $| y | = - 4$

Part (a) Step 1. Solve

We have:

$| x | = 2$

Apply absolute rule: $If | u | = a, a > 0 then u = a or u = - a$

$x = 2$ or $x = - 2$

Part (b) Step 1. Solve.

We have:

$| y | = - 4$

Absolute value can not be less than $0 .$

Hence, no solution for $y \in R .$

Part (c) Step 1. Solve

We have:

$| z | = 0$

Apply absolute rule: If $| u | = 0$ then $u = 0$

$z = 0$

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Solve (a) $| x | = 2$
(b) $| y | = - 4$
(c) $| z | = 0$

Short Answer

Step by step solution

Step 1. Given information.

Part (a) Step 1. Solve

Part (b) Step 1. Solve.

Part (c) Step 1. Solve

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Solve (a) |x|=2(b) |y|=-4(c)|z|=0

Short Answer

Step by step solution

Step 1. Given information.

Part (a) Step 1. Solve

Part (b) Step 1. Solve.

Part (c) Step 1. Solve

One App. One Place for Learning.

Most popular questions from this chapter

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Solve (a) $| x | = 2$
(b) $| y | = - 4$
(c) $| z | = 0$