Answered

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Given: [tex]$9x \ \textgreater \ -36$[/tex]

Choose the solution set.

A. [tex]\{x \mid x \ \textgreater \ -4\}[/tex]
B. [tex](x \mid x \ \textless \ -4)[/tex]
C. [tex](x \mid x \ \textgreater \ 4][/tex]
D. [tex]\{x \mid x \ \textless \ 4\}[/tex]

Sagot :

GinnyAnswer
Let's solve the given inequality step-by-step:

Given:
[tex]\[ 9x > -36 \][/tex]

To isolate [tex]\( x \)[/tex], we need to divide both sides of the inequality by 9:

[tex]\[ \frac{9x}{9} > \frac{-36}{9} \][/tex]

This simplifies to:

[tex]\[ x > -4 \][/tex]

The solution set includes all [tex]\( x \)[/tex] values that are greater than -4.

Thus, the correct solution set is:
[tex]\[ \{ x \mid x > -4 \} \][/tex]
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