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

The correct option is 4.

Explanation:

The given inequality is

`-4(3-5x)\geq -6x+9`

Use BODMAS and solve the brackets first.

Using distributive property, the given inequality can be written as

`-4(3)-4(-5x)\geq -6x+9`

`-12+20x\geq -6x+9`

The first step in solving the given inequality is

`-12+20x\geq -6x+9`

Therefore option 4 is correct.

Answer 2

The answer is -12 + 20x ≥ –6x 9. The inequality is –4(3 – 5x)≥ –6x 9. The first step is to multiply factors on the left side. The intermediary steps are: (-4)*(3) - (-4)*(5x) ≥ –6x 9. -12 - (-20x) ≥ –6x 9. So, the first step will be: -12 + 20x ≥ –6x 9.