Question

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

Answer 1

x > 6

Explanation:

Use the properties of inequality and real numbers to rewrite the statement until the solution is found.

4(3x + 2) < 5(3x − 2)

12x + 8 < 15x − 10 distributive property

-3x + 8 < -10 subtraction property

-3x < -18 subtraction property

x > 6 division property

Answer 2

x > 6

Explanation:

4(3x + 2) < 5(3x - 2)

12x + 8 < 15x - 10 (Distribute)

-3x < -18 (Subtract 15x and 8)

x > 6 (Divide by -3; sign gets flipped when you divide by a negative number)