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5. explain why the graph shown represents the solution to the system of…

Question

  1. explain why the graph shown represents the solution to the system of linear inequalities \\(\
$$\begin{cases}2x - 3y \\geq 12 \\\\ y < -\\frac{1}{2}x + 5\\end{cases}$$

\\). graph \\(\bigcirc\\) the point \\((0, -5)\\) is on a dashed boundary line, so the graph is correct. \\(\bigcirc\\) the point \\((6, 2)\\) is on a solid boundary line, so the graph is correct. \\(\bigcirc\\) the point \\((2, 2)\\) is in the shaded area for both inequalities, so the graph is correct. \\(\bigcirc\\) the point \\((0, -6)\\) is in the shaded area for both inequalities so the graph is correct.

Explanation:

Answer:

The point \((0, -6)\) is in the shaded area for both inequalities so the graph is correct.