Questions: Graph the compound inequality. x ≥ 3 and x ≤ 6

Transcript text: Graph the compound inequality. \[ x \geq 3 \text { and } x \leq 6 \]

Solution

Step 1: Identify the compound inequality

The given compound inequality is \( x \geq 3 \) and \( x \leq 6 \).

Step 2: Determine the endpoints

The endpoints for the inequality are 3 and 6.

Step 3: Plot the endpoints on the number line

Step 4: Draw the segment between the endpoints

Draw a line segment connecting the closed circles at 3 and 6 to represent all the values between and including 3 and 6.

The graph of the compound inequality \( x \geq 3 \) and \( x \leq 6 \) is a line segment from 3 to 6 with closed circles at both endpoints.

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