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 with \(x\): \[ -3x > -30 + 9 \] \[ -3x > -21 \] 3. Divide both sides by \(-3\). Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign: \[ x < 7 \] The solution to the inequality is: \[ x < 7 \]

Solve -3(x+3)>-30

1 answer

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

Distribute \(-3\) on the left side: \[ -3x - 9 > -30 \]
Add \(9\) to both sides to isolate the term with \(x\): \[ -3x > -30 + 9 \] \[ -3x > -21 \]
Divide both sides by \(-3\). Remember that when you divide or multiply both sides of an inequality by a negative number, you must reverse the inequality sign: \[ x < 7 \]

The solution to the inequality is: \[ x < 7 \]