negative 3​(7negative 3​x)greater than15

Answer 1

To solve the inequality \(-3(7 - 3x) > 15\), follow these steps:

1. Distribute \(-3\) on the left side: \[ -3 \cdot 7 + 3 \cdot 3x > 15 \] This simplifies to: \[ -21 + 9x > 15 \]

2. Add \(21\) to both sides of the inequality: \[ 9x > 15 + 21 \] This simplifies to: \[ 9x > 36 \]

3. Divide both sides by \(9\): \[ x > 4 \]

Thus, the solution to the inequality is: \[ x > 4 \]