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. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.

Answer 1

C. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9

Explanation:

Given inequality:

x + 2 ≥ 6

Solution is:

x ≥ 6 - 2

x ≥ 4

Since the number line is restricted to -9, + 9 interval, the solution will appear as shaded part to the right from 4 through 9, where 4 is included point.

Correct answer choice is C

Explanation:

Answer 2

• C. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9

Explanation:

Given inequality:

• x + 2 ≥ 6

Solution is:

• x ≥ 6 - 2
• x ≥ 4

Since the number line is restricted to -9, + 9 interval, the solution will appear as shaded part to the right from 4 through 9, where 4 is included point.

Correct answer choice is C