Answered

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[tex]\[
-9 \ \textgreater \ 2x
\][/tex]

Which of the following best describes the solutions to the inequality shown above?

Choose 1 answer:
(A) [tex]\( x \ \textless \ -\frac{9}{2} \)[/tex]
(B) [tex]\( x \ \textgreater \ -\frac{9}{2} \)[/tex]
(C) [tex]\( x \ \textless \ -\frac{2}{9} \)[/tex]
(D) [tex]\( x \ \textgreater \ -\frac{2}{9} \)[/tex]

Sagot :

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

The given inequality is:
[tex]$ -9 > 2x $[/tex]

To isolate [tex]\( x \)[/tex], we need to solve for [tex]\( x \)[/tex]. We can start by dividing both sides of the inequality by 2:

[tex]\[ \frac{-9}{2} > x \][/tex]

This results in:

[tex]\[ x < \frac{-9}{2} \][/tex]

Simplifying [tex]\(\frac{-9}{2}\)[/tex] gives us:

[tex]\[ \frac{-9}{2} = -4.5 \][/tex]

Therefore, the inequality becomes:

[tex]\[ x < -4.5 \][/tex]

So, we can see that the solution to the inequality is [tex]\( x \)[/tex] being less than [tex]\(-4.5\)[/tex]. This corresponds to the choice:

(A) [tex]\( x < -\frac{9}{2} \)[/tex]
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