Question

Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

Distribute –4 to get –8x + 4 > 5 – 3x.
Distribute –4 to get –8x – 1 > 5 – 3x.
Subtract 2x from both sides of the inequality.
Add 1 to both sides of the inequality.

Answer 1

distribute -4 to get -8x+4....

Answer 2

The correct option is A. Distribute –4 to get –8x + 4 > 5 – 3x

Explanation:

The inequality is given to be : –4(2x – 1) > 5 – 3x

To solve this given inequality :

STEP 1 : Distribute -4 over 2x - 1

⇒ -8x + 4 > 5 - 3x

STEP 2 : Add -4 on both the sides

⇒ -8x > 1 - 3x

STEP 3 : Add 3x on both the sides

⇒ -5x > 1

Therefore, The correct first step to solve this inequality is : Distribute –4 to get –8x + 4 > 5 – 3x

Hence, The correct option is A. Distribute –4 to get –8x + 4 > 5 – 3x