Question

Solve the inequality.
9−3x>30
Which inequality represents the solutions to this inequality?
Responses
x>−7


x<−7


x<7


x>7

Answer 1

To solve the inequality \( 9 - 3x > 30 \), follow these steps:

1. Subtract 9 from both sides:
\[
-3x > 30 - 9
\]
\[
-3x > 21
\]

2. Divide both sides by -3. Remember that when you divide by a negative number, you must reverse the inequality sign:
\[
x < \frac{21}{-3}
\]
\[
x < -7
\]

So, the solution to the inequality is \( x < -7 \).

The correct response is:
**x < -7**.