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

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

Solution

Solution Steps

Step 1: Identify the inequalities

The given system of inequalities is: \[ \begin{array}{l} y > 5x - 3 \\ y \geq -2x + 5 \end{array} \]

Step 2: Convert inequalities to equations for plotting

Convert the inequalities to equations for plotting purposes: \[ \begin{array}{l} y = 5x - 3 \\ y = -2x + 5 \end{array} \]

Final Answer

The system of inequalities is: \[ \begin{array}{l} y > 5x - 3 \\ y \geq -2x + 5 \end{array} \]

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

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