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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) x1=-2,x2=2

(b) No solution

(c)z=0

Step by step solution

01

Step 1. Given information.

The given functions are:

(a) |x|=2

(b) |y|=-4

(c)|z|=0

02

Part (a) Step 1. Solve   

We have:

|x|=2

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

x=2orx=-2

03

Part (b) Step 1. Solve. 

We have:

|y|=-4

Absolute value can not be less than 0.

Hence, no solution fory鈭�R.

04

Part (c) Step 1. Solve  

We have:

|z|=0

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

z=0

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