Question

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

Short answer

The solution to the inequality \(-3y+2>11\) is \(y<-3\).

Step-by-step solution

Simplify the inequality

Subtract 2 from both sides of the inequality to maintain the balance. So, \(-3y+2-2>11-2\), which simplifies to \(-3y>9\).

Solve for 'y'

To isolate 'y' on one side, divide both sides of the inequality by '-3'. Remember, when dividing by a negative number, the direction of the inequality changes. Hence, \(-3y/-3 < 9/-3\), which gives us \(y<-3\).