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Question 7 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which number line represents the solution set for the inequality negative 1 half x is greater than or equal to 4 ?

Answer

Image with description A number line from negative 10 to positive 10 in increments of 2. A solid point is at negative 2 and a bold line starts at negative 2 and is pointing to the left.

Image with description A number line from negative 10 to positive 10 in increments of 2. A solid point is at negative 8 and a bold line starts at negative 8 and is pointing to the right.

Image with description A number line from negative 10 to positive 10 in increments of 2. A solid point is at negative 2 and a bold line starts at negative 2 and is pointing to the right.

Image with description A number line from negative 10 to positive 10 in increments of 2. A solid point is at negative 8 and a bold line starts at negative 8 and is pointing to the left.

Explanation

Multiply both sides of −½x ≥ 4 by −2 to isolate x. Because −2 is negative, reverse the inequality sign, giving x ≤ −8. The solution is shown by a solid point at −8 with the line extending to the left, which is choice C.

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