Question

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

Short answer

The solution to the inequality is \(y < -3\). Any value of 'y' less than '-3' will satisfy the inequality.

Step-by-step solution

Subtract 2 from both sides

The first step in solving the inequality \(-3 y+2>11\) would be to isolate the 'y' variable. Start by subtracting '2' from both sides of the inequality. The equation now becomes: \(-3 y > 9\).

Divide by -3

Since 'y' is multiplied by '-3', divide both sides of the inequality by '-3' to isolate 'y'. When dividing or multiplying both sides of an inequality by a negative number, remember to reverse the sign of the inequality. The equation now becomes: \(y < -3\).

Interpret the inequality

The inequality \(y < -3\) means that any 'y' value less than '-3' is a solution to the inequality.