Questions: Graph the following inequality. y > -6/7 x

Transcript text: Graph the following inequality. \[ y>-\frac{6}{7} x \]

Solution

Solution Steps

Step 1: Identify the inequality

The given inequality is: \[ y > -\frac{6}{7} x \]

Step 2: Convert the inequality to an equation for plotting

To plot the boundary line, we convert the inequality to an equation: \[ y = -\frac{6}{7} x \]

Step 3: Determine the range for the plot

We need to choose a suitable range for $x$ and $y$. Let's use the range $[-10, 10]$ for both axes.

Final Answer

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = (-6/7)x"], "latex_expressions": ["$y = -\\frac{6}{7}x$"]}

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