Question

select the correct answer. which inequality represents all the solutions of 10(3x + 2) > 7(2x - 4)? a. x > -4 b. x < -4 c. x > -3 d. x < -3

Explanation:

Step1: Expand both sides

$10(3x+2) > 7(2x-4)$
$30x + 20 > 14x - 28$

Step2: Isolate x terms

Subtract $14x$ from both sides:
$30x - 14x + 20 > -28$
$16x + 20 > -28$

Step3: Isolate constant terms

Subtract 20 from both sides:
$16x > -28 - 20$
$16x > -48$

Step4: Solve for x

Divide by 16:
$x > \frac{-48}{16}$
$x > -3$

Answer:

C. $x > -3$