Solve the inequality and graph the solution. - 12 + 5 (9p+3) - 36p <6p-12

Given inequality is,

-12 + 5 (9p+3) - 36p < 6p - 12

By distributive property,

-12 + 45p + 15 - 36p < 6p - 12

Combine like terms,

3 + 9p < 6p - 12

Additive property of equality,

15 + 9p < 6p

Subtraction property of equality,

9p < 6p - 15

3p < - 15

⇒ p < - 5

That is, solution of the given inequality is (-∞, 5)