Linear Equations and Inequalities

Linear Equations and Inequalities

IP 2

Shade the region satisfying
\[x\geq1,\qquad y\geq x-1,\qquad y\leq5-x.\]

  1. Find its three vertices.

  2. Calculate its area.

  3. Determine whether \((2,1)\) and \((2,4)\) belong to the region.

Use a coordinate grid covering \(0\leq x\leq5\) and \(0\leq y\leq5\).

Similar questions are unavailable for this question.
Answer:(a) \((1,0),(1,4),(3,2)\); (b) Area \(4\); (c) \((2,1)\) included, \((2,4)\) excluded.

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