Questions: Graph the linear inequality. y<3 Use the graphing tool on the right to graph the inequality.

Graph the linear inequality. y<3 Use the graphing tool on the right to graph the inequality.
Transcript text: Graph the linear inequality. \[ y<3 \] Use the graphing tool on the right to graph the inequality.
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Solution

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Solution Steps

Step 1: Identify the inequality

The given inequality is \( y < 3 \).

Step 2: Draw the boundary line

To graph the inequality \( y < 3 \), first draw the boundary line \( y = 3 \). Since the inequality is strict (less than), use a dashed line to indicate that points on the line are not included in the solution.

Step 3: Shade the appropriate region

Shade the region below the dashed line \( y = 3 \) because the inequality is \( y < 3 \). This represents all the points where the y-coordinate is less than 3.

Final Answer

The graph of the inequality \( y < 3 \) consists of a dashed horizontal line at \( y = 3 \) with the region below this line shaded.

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