Questions: Graph the solution to the following system of inequalities. y ≥ 3x + 5 y < -3x - 2

Graph the solution to the following system of inequalities. y ≥ 3x + 5 y < -3x - 2
Transcript text: Graph the solution to the following system of inequalities. \[ \begin{array}{l} y \geq 3 x+5 \\ y<-3 x-2 \end{array} \]
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Solution

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Solution Steps

Step 1: Solve the first inequality

The first inequality is: \[ y \geq 3x + 5 \]

Step 2: Solve the second inequality

The second inequality is: \[ y < -3x - 2 \]

Final Answer

The solution to the system of inequalities is the region where \( y \geq 3x + 5 \) and \( y < -3x - 2 \).

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = 3x + 5", "y = -3x - 2"], "latex_expressions": ["$y \\geq 3x + 5$", "$y < -3x - 2$"]}

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