How do you solve this inequality:

a + 8 - 2(a - 12) > 0

a + 8 - 2(a - 12) > 0

a + 8 - 2(a - 12) > 0

a + 8 - 2a + 24 > 0 {used distributive property}

-a + 32 > 0 {combined like terms}

-a > -32 {subtracted 32 from each side}

Whenever you multiply or divide both sides of an inequality by a negative

number, you have to change or flip the inequality sign

a + 8 - 2a + 24 > 0 {used distributive property}

-a + 32 > 0 {combined like terms}

-a > -32 {subtracted 32 from each side}

**a < 32**{divided each side by -1 and changed the inequality sign}Whenever you multiply or divide both sides of an inequality by a negative

number, you have to change or flip the inequality sign

*- Algebra House*