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

A correct first step in solving the inequality –4(2x – 1) > 5 – 3x is:

distribute –4 to get –8x +4 > 5 – 3x

Explanation:

We have to solve the inequality:

-4(2x-1)>5-3x

Distributing -4 , we get:

-4×2x-4×(-1)>5-3x

-8x+4>5-3x

Hence, a correct first step in solving the inequality –4(2x – 1) > 5 – 3x is:

distribute –4 to get –8x +4 > 5 – 3x

Answer 2

Distribute -4 in this way:

-4(2x) - 4(-1) > 5 - 3x, to get

- 8x + 4 > 5 - 3x