Question

Which inequality represents all solutions of 10(3x+2)>7(2x−4)?

a) x>2
b) x<−2
c) x≥2
d) x≤−2

Answer 1

The inequality that represents all solutions is x > -3.

Step-by-step explanation:

The inequality 10(3x+2) > 7(2x-4) can be simplified by distributing the coefficients:

30x + 20 > 14x -28

Combine like terms:

30x - 14x > -28 - 20

16x > -48

Divide both sides by 16:

x > -3

Therefore, the inequality that represents all solutions is x > -3.