Question

Solve the inequality for x. Show each step of the solution.
12X>9(2X-3)-15

Answer 1

12x > 18x - 27 - 15
12x > 18x - 42
12x - 18x > -42
-6x > -42
x < -42/-6
two negatives make a positive so now its x < 42/6
Lastly divide 42/6 so it can equal 7

Answer: X < 7.

Answer 2

12x>9(2x-3)-15
12x>18x-27-15
12x-18x>-27-15
-6x>-42
"x" must be always positive, therefore we have to change the sign on both sides of the inequality, and we have to change "<" by ">".

6x<42
x<42/6
x<7


Answer: x<7