Which of the following values are solutions to the inequality 2≥ -1 - 2x ?

Question

I.3 II. -5 III. -6

Answer 1

To solve the inequality, we need to substitute each value into the inequality and see if the inequality is true.

Substituting I. 3:
2 ≥ -1 - 2(3)
2 ≥ -1 - 6
2 ≥ -7
This is true.

Substituting II. -5:
2 ≥ -1 - 2(-5)
2 ≥ -1 + 10
2 ≥ 9
This is false.

Substituting III. -6:
2 ≥ -1 - 2(-6)
2 ≥ -1 + 12
2 ≥ 11
This is false.

Therefore, the solution to the inequality is I. 3.