Answered

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What is the solution set of [tex]\(-|x|=-8\)[/tex]?

A. [tex]\(\{8\}\)[/tex]

B. [tex]\(\{-8, 8\}\)[/tex]

C. no solution

Sagot :

GinnyAnswer
To solve the equation [tex]\(-|x| = -8\)[/tex], let's break it down step-by-step:

1. Start with the original equation:
[tex]\[ -|x| = -8 \][/tex]

2. Remove the negative sign from both sides of the equation. This gives:
[tex]\[ |x| = 8 \][/tex]

3. The absolute value equation [tex]\(|x| = 8\)[/tex] means that the value of [tex]\(x\)[/tex] can be either 8 or -8 because both [tex]\(8\)[/tex] and [tex]\(-8\)[/tex] have an absolute value of 8.

Therefore, the solution set for the equation [tex]\(-|x| = -8\)[/tex] is:
[tex]\[ \{-8, 8\} \][/tex]
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