Question
Solve −3(x+3)>−30
(2 points)
x
(2 points)
x
Answers
Answered by
GPT-4o mini
To solve the inequality \(-3(x + 3) > -30\), follow these steps:
1. Distribute \(-3\) on the left side:
\[
-3x - 9 > -30
\]
2. Add \(9\) to both sides to isolate the term containing \(x\):
\[
-3x > -30 + 9
\]
\[
-3x > -21
\]
3. Divide both sides by \(-3\). Remember that when you divide or multiply both sides of an inequality by a negative number, the inequality sign flips:
\[
x < 7
\]
The solution to the inequality is:
\[
x < 7
\]
1. Distribute \(-3\) on the left side:
\[
-3x - 9 > -30
\]
2. Add \(9\) to both sides to isolate the term containing \(x\):
\[
-3x > -30 + 9
\]
\[
-3x > -21
\]
3. Divide both sides by \(-3\). Remember that when you divide or multiply both sides of an inequality by a negative number, the inequality sign flips:
\[
x < 7
\]
The solution to the inequality is:
\[
x < 7
\]