Question

Which inequality represents all the solutions of 4(3x + 2)<5(3x - 2)?

Select the correct answer.

Answer 1

Answer: x>6

Explanation:

Step 1: Simplify both sides of the inequality through the Distributive Property.

`12x+8 < 15x-10`

Step 2: Subtract 15x from both sides.

`12x+8-15x < 15x-10-15x\\-3x+8 < -10`

Step 3: Subtract 8 from both sides.

`-3x+8-8 < -10-8\\-3x < -18`

Step 4: Divide both sides by -3 and flip the sign.

`(-3x)/(-3) < (-18)/(-3) \\x > 6`