Question

Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6

A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9.

Answer 1

x ≥ 4; solid circle at 4 and shaded to the right

Answer 2

x ≥ 4; solid circle at 4 and shaded to the right

Explanation:

Given:

x +2 ≥ 6

Subtract 2

x +2 -2 ≥ 6 -2

x ≥ 4

This is graphed as a solid circle at x=4 and shaded to the right (where x > 4).