Question

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

Answer 1

To solve the inequality 10(3x + 2) > 7(2x - 4), distribute and simplify both sides, isolate the x term, and then solve for x, resulting in the answer C: x > -3.

Step-by-step explanation:

To solve the inequality 10(3x + 2) > 7(2x − 4), start by distributing and simplifying both sides:

1. Multiply the terms inside the parentheses: 30x + 20 > 14x − 28
2. Subtract 14x from both sides to get all the x terms on one side: 30x − 14x + 20 > − 28, which simplifies to 16x + 20 > − 28.
3. Subtract 20 from both sides to isolate the x term: 16x > − 48
4. Divide both sides by 16 to solve for x: x > − 3

Therefore, the correct answer is C: x > − 3.

Answer 2

c
30x+20>14x-28
16x>-48
x>-3