Question

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

Answer 1

The answer is x<7

Step-by-step explanation: Factor[12 x > -15 + 9 (-3 + 2 x)]. 12 x > 6 (-7 + 3 x). Then, you get 7 is greater than x. Hope this helps!

Answer 2

`12x > 9(2x-3)-15\qquad|\text{use distributive property}\\\\12x > (9)(2x)+(9)(-3)-15\\\\12x > 18x-27-15\\\\12x > 18x-42\qquad|\text{subtract 18x from both sides}\\\\-6x > -42\qquad|\text{change the signs}\\\\6x < 42\qquad|\text{divide both sides by 6}\\\\x < 7`