Answer:
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram, please see attached drawing of the number line created with MS Visio
Explanation:
The given inequality is presented as follows;
6·x ≥ 3 + 4·(2·x - 1)
By expanding the right hand side of the inequality, we get;
6·x ≥ 3 + 8·x - 4
4 - 3 = 1 ≥ 8·x - 6·x = 2·x
∴ 1 ≥ 2·x
1/2 ≥ x
Therefore, the correct options are;
1) 1 ≥ 2·x
2) 6·x ≥ 3 + 8·x - 4
3) 1/2 ≥ x The third option and the first number line inequality diagram