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Question 9 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which number line represents the solution set for the inequality 3 times open paren 8 minus 4 x is less than 6 times open paren x minus 5 close paren ?

Answer

Image with description A number line from negative 5 to positive 5 in increments of 1. An open point is at negative 3 and a bold line starts at negative 3 and is pointing to the left.

Image with description A number line from negative 5 to positive 5 in increments of 1. An open point is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Image with description A number line from negative 5 to positive 5 in increments of 1. An open point is at positive 3 and a bold line starts at positive 3 and is pointing to the right.

Image with description A number line from negative 5 to positive 5 in increments of 1. An open point is at positive 3 and a bold line starts at positive 3 and is pointing to the left.

Explanation

Distribute on both sides: 24 − 12x < 6x − 30. Add 12x and 30 to both sides to get 54 < 18x, then divide by 18: x > 3. The solution is shown by an open point at 3 with the line extending to the right, which is choice D.

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