Question

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answer 1

x > 3

Explanation:

In the final step we divide both sides by (-2).

Since both sides are negative, when divided by a negative, both sides will be positive, so the answer is:

3 < x or x > 3