To solve the inequality \(-3x - 1 > 11\), follow these steps: 1. **Add 1 to both sides**: \[ -3x - 1 + 1 > 11 + 1 \] This simplifies to: \[ -3x > 12 \] 2. **Divide both sides by -3**: Remember that when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign. \[ x 11\) is: \[ x < -4 \]

-3x-1>11

1 answer

To solve the inequality \(-3x - 1 > 11\), follow these steps:

Add 1 to both sides: \[ -3x - 1 + 1 > 11 + 1 \] This simplifies to: \[ -3x > 12 \]
Divide both sides by -3: Remember that when you divide or multiply both sides of an inequality by a negative number, you must flip the inequality sign. \[ x < \frac{12}{-3} \] This simplifies to: \[ x < -4 \]

So, the solution to the inequality \(-3x - 1 > 11\) is: \[ x < -4 \]