# How do you solve the inequality 2/3>=y/6-1/2?

Jan 4, 2016

y ≤ 7

#### Explanation:

collect numeric values to left hand side of inequality

 2/3 + 1/2 ≥ y/6

 7/6 ≥ y/6
now multiply both sides by 6 to eliminate fractions

7 ≥ y
reverse the inequality to have variable on left hand side. When you do this the inequality symbol must reverse.

y ≤ 7