Modeling with Systems of Linear Inequalities — Quiz
Question 3 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than 30 inches of wood to use. Which system of inequalities represents the possible length, l , and the possible width, w , that her frame could have?
Answer
A
l is greater than 12 l plus w is less than 30
B
l is less than or equal to 12 l plus w is less than 30
C
l is less than or equal to 12 2 l plus 2 w is less than 30
D
l is greater than 12 2 l plus 2 w is less than 30
Explanation
“No more than 12 inches” means the length can be 12 inches or less, so l ≤ 12. A rectangular frame uses wood around its perimeter, which is 2l + 2w, and “less than 30 inches” means 2l + 2w < 30. Choice C gives both conditions.
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