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Chapter 1: Q22. (page 51)

Solve each equation. Check your solution.

8ω+2+2=0

Short Answer

Expert verified

The solution set of given equation is ∅.

Step by step solution

01

– Description of step.

For any real numbers p and q, where q≥0,

Case 1) if p=qthen p=qor

Case 2) if p=qthen p=-q

02

– Description of step.

Subtract 2 from both the sides of the given equation.

8ω+2+2−2=0−28ω+2=−2

03

– Description of step.

The given equation is 8ω+2=-2. This statement is not true since, the absolute value of a real number is non-negative irrespective of its sign.

04

– Description of step.

The statement 8ω+2=-2 is not true and hence the solution is ∅.

Therefore, the solution set of given equation is data-custom-editor="chemistry" ∅.

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