Solving Inequalities Examples Page 3

Solve the inequality 3(y - 1) > 2(4 + y).

The left-hand side simplifies to 3y - 3; the right-hand side simplifies to 8 + 2y. To solve the new inequality

3y - 3 > 8 + 2y,

we subtract 2y from each side and add 3 to each side to find that

y > 11

This one goes beyond 11.