Question

Which number line represents the solution set for the inWhich number line represents the solution set for the inequality –x ≥ 4?equality –x ≥ 4?

Answer 1

The graph in the attached figure

Explanation:

we have

`-x\geq4`

Multiply by -1 both sides ( remember that the sign of the inequality change)

`x\leq -4`

The solution is the interval ----> (-∞,-4]

All real numbers less than or equal to -4

In a number line the solution is the shaded area at left of x=-4 (close circle)

see the attached figure