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?

“No more than 12 inches” means the length satisfies l ≤ 12. A rectangular frame uses wood around all four sides, so its perimeter is 2l + 2w, and “less than 30 inches” means 2l + 2w < 30. Choice A represents both conditions. The expression l + w would count only one length and one width, not the whole frame.

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