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?

Answer 1

Answer: The final step in solving the inequality -2(5 - 4x) < 6x - 4 would be to isolate x on one side of the inequality. In the previous step (-6 < -2x), we have -2x on one side of the inequality and -6 on the other. To isolate x, we divide both sides of the inequality by -2:

-6 ÷ -2 < -2x ÷ -2

Since dividing by a negative number reverses the inequality direction, we get:

3 > x

So, the final solution to the inequality -2(5 - 4x) < 6x - 4 is x > 3. This means that all values of x that are greater than 3 satisfy the inequality.

Explanation: