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

In order to check the different representations, we first simplify the inequality:
6x ≥ 3 + 4(2x - 1)
6x ≥ 3 + 8x - 4
1 ≥ 2x
1/2 ≥ x
Looking at the simplification process, we see that the first and second options are correct representations. Moreover, if we plot the simplified inequality on a number line, then we see that the third representation is also correct. Therefore, the first, second and third representations of the inequality are correct.

eudora eudora · Answer 2 · 2019-11-25T14:24:22-05:00

Answer:

Option A, B and C are the correct options.

Step-by-step explanation:

Inequality has been given as 6x ≥ 3 + 4(2x - 1)

By solving it further,

6x ≥ 3 + 8x - 4 [Option B is the correct option]

6x ≥ 8x - 1

6x - 8x ≥ 8x - 1 - 8x

-2x ≥ -1

2x ≤ 1

1 ≥ 2x [Option A is the correct option]

x ≤ \(\frac{1}{2}\)

Option C represents the inequality drawn on the number line.

Therefore, Options A, B and C are the correct options.