Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

[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]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.