Question

Which are correct representations of the inequality 6x ≥ 3 + 4(2x – 1)? Check all that apply.

1 ≥ 2x
6x ≥ 3 + 8x – 4

Answer 1

1 ≥ 2x

Explanation:

6x ≥ 3 + 4(2x – 1)

Solve the inequality

to solve the inequality we remove the parenthesis

distribute 4 inside the parenthesis

6x ≥ 3+8x-4

now combine like terms

6x ≥ 8x-1

Now add 1 on both sides

6x+1 ≥ 8x

Subtract 6x from both sides

6x-6x+1>=8x-6x

1 ≥ 2x

First option is correct

Answer 2

I think the correct answer from the choices listed above is the last option. The correct representation of the inequality 6x ≥ 3 + 4(2x – 1) would be 6x ≥ 3 + 8x – 4. Hope this answers the question. Have a nice day. Feel free to ask more questions.