Question

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

–12 – 20x ≤ –6x + 9
–12 – 20x ≥ –6x + 9
–12 + 20x ≤ –6x + 9
–12 + 20x ≥ –6x + 9

Answer 1

First you have to take the -4 and multiply it by 3 and -5 then just solve the equation like normal

Answer 2

4(3−5x)≥−6x+9

Step 1: Simplify both sides of the inequality.

20x−12≥−6x+9

Step 2: Add 6x to both sides.

20x−12+6x≥−6x+9+6x

26x−12≥9

Step 3: Add 12 to both sides.

26x−12+12≥9+12

26x≥21

Step 4: Divide both sides by 26.

26x26≥2126

x≥2126

Answer:

x≥2126