Respuesta :

W0lf93
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.

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 ≤ [tex]\frac{1}{2}[/tex]

Option C represents the inequality drawn on the number line.

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