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

The process of solving the inequality will be: -2(5 - 4x) < 6x - 4 8x - 10 < 6x - 4 -6 < -2x x > 3 This is in accordance to the rule of solving inequalities which states that whenever we multiply or divide by a negative number while solving an inequality, we must reverse the inequality sign.