Question

determine the relationship between the point \\((1, -5)\\) and the given system of inequalities. choose three correct answers.

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$$\begin{cases} y \\le 3x + 2 \\\\ y > -2x - 3 \\end{cases}$$

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• the point \\((1, -5)\\) is not in the solution set of the system of inequalities.
• the point \\((1, -5)\\) lies in the shaded area of both inequalities.
• the point \\((1, -5)\\) lies on the dashed line of the second inequality, which is not inclusive.
• the point \\((1, -5)\\) is in the solution set of the system of inequalities.
• the point \\((1, -5)\\) satisfies the first inequality but not the second inequality.

Explanation:

Answer:

• The point \((1, -5)\) is not in the solution set of the system of inequalities.
• The point \((1, -5)\) lies on the dashed line of the second inequality, which is not inclusive.
• The point \((1, -5)\) satisfies the first inequality but not the second inequality.