Questions: Graph the inequality in the coordinate plane, x > -7

Graph the inequality in the coordinate plane, x > -7
Transcript text: Graph the inequality in the coordinate plane, \[ x>-7 \]
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Solution

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Solution Steps

Step 1: Identify the related equation

The inequality \(x > -7\) corresponds to the equation \(x = -7\). This equation represents a vertical line.

Step 2: Graph the line

Draw a dashed vertical line at \(x = -7\). We use a dashed line because the inequality is strictly greater than (and not greater than or equal to).

Step 3: Shade the appropriate region

Since the inequality is \(x > -7\), we shade the region to the right of the vertical line \(x = -7\). This represents all points where the x-coordinate is greater than -7.

Final Answer

The graph of the inequality \(x > -7\) is the region to the right of the dashed vertical line \(x = -7\).

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