Solve the inequality.

Question

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.