Question

Solve the inequality for x. Show each step of the solution:

12x > 9(2x - 3) - 15

Answer 1

x < 7

Step-by-step explanation:

given the inequality

12x > 9(2x - 3) - 15 ← distribute parenthesis and simplify right side

12x > 18x - 27 - 15

12x > 18x - 42 ( subtract 12x from both sides )

0 > 6x - 42 ( add 42 to both sides )

42 > 6x ( divide both sides by 6 )

7 > x , then

x < 7

Answer 2

The inequality 12x > 9(2x - 3) - 15 is solved by distributing, simplifying, and then isolating x, leading to the solution x < 7.

Step-by-step explanation:

To solve the inequality for x, first distribute the 9 on the right side of the inequality.

12x > 9(2x - 3) - 15

12x > 18x - 27 - 15

Now, simplify the right side by combining like terms.

12x > 18x - 42

To get all the x terms on one side, subtract 18x from both sides.

-6x > -42

Now divide both sides by -6, remembering to reverse the inequality sign because you are dividing by a negative number.

x < 7

The solution to the inequality is x < 7.