Subjects algebra

Unshaded Inequalities 76852C

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1. **State the problem:** We need to write the inequalities describing the unshaded region on the graph. 2. **Identify the lines:** The solid line passes through (0, -1) and (3, 6), so its equation is $y = 2x - 1$. 3. The dotted line passes through (-3, 6) and (6, -3), so its equation is $y = -x + 3$. 4. **Determine the unshaded region:** The unshaded region is to the right of the solid line and above the dotted line. 5. **Write inequalities:** - To be to the right of the solid line means $y \geq 2x - 1$. - To be above the dotted line means $y \geq -x + 3$. 6. **Final inequalities describing the unshaded region:** $$ y \geq 2x - 1 $$ $$ y \geq -x + 3 $$