Answer :
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]
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]
