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

Answer 1

Step 4: 3 > x, which is equivalent to x < 3.

(When dividing both sides of -6 < -2x by -2 you must reverse the inequality sign.)