Raheem makes baskets and mats. Each week he makes $$\(x\)$$ baskets and $$\(y\)$$ mats. He makes fewer than 10 mats. The number of mats he makes is greater than or equal to the number of baskets he makes. He takes $$\(2 \frac{1}{4}\)$$ hours to make a basket and $$\(1 \frac{1}{2}\)$$ hours to make a mat. Each week he works for a maximum of $$\(22.5\)$$ hours. Show that $$\(3 x+2 y \leqslant 30\)$$.

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