Solve −3(x+3)>−30

Question

(2 points)
x
>
<

13
-13
7
-7

Answer 1

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

1. Divide both sides by -3. Remember that when you divide or multiply by a negative number, you must reverse the direction of the inequality.

   \[ x + 3 < 10 \quad \text{(because } -30 \div -3 = 10\text{)} \]

2. Now, subtract 3 from both sides:

   \[ x < 10 - 3 \] \[ x < 7 \]

Thus, the solution to the inequality is:

\[ x < 7 \]

So the correct answer is \(x < 7\).