Question

Describe the steps you could use to solve the inequality \(-3 y+2>11\).

Short answer

The values of y for which the inequality holds true are y less than -3, i.e., \(y < -3\).

Step-by-step solution

- Subtract 2 from both sides

Subtract 2 from both sides of the inequality \(-3y+2>11\), to get a new inequality \(-3y > 9\).

- Divide by (-3)

Divide every term in the inequality \(-3y > 9\) by -3 to isolate y. Reverses the inequality sign because dividing by a negative number, so the new inequality becomes \(y < -3\).

- Interpret the solution

The solution \(y < -3\) means any number less than -3 is a part of the solution set.