Solve −3(x+3)>−30

Answer 1

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

1. Distribute \(-3\) to both terms inside the parentheses: \[ -3x - 9 > -30 \]

2. Add \(9\) to both sides of the inequality: \[ -3x > -30 + 9 \] \[ -3x > -21 \]

3. Divide both sides by \(-3\). Remember, when you divide an inequality by a negative number, you must reverse the inequality sign: \[ x < 7 \]

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