Questions: Write an absolute value inequality for the graph below. Use x for your variable.

Write an absolute value inequality for the graph below. Use x for your variable.
Transcript text: Write an absolute value inequality for the graph below. Use $x$ for your variable.
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Solution

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Solution Steps

Step 1: Identify the range of x values

The graph shows that x is less than or equal to -6 or greater than or equal to 6.

Step 2: Express the range using absolute value

To express this range using absolute value, we need to find the midpoint and the distance from the midpoint to the boundary points. The midpoint between -6 and 6 is 0, and the distance from 0 to either boundary point is 6.

Step 3: Write the absolute value inequality

The absolute value inequality that represents the given range is: \[ |x| \geq 6 \]

Final Answer

\[ |x| \geq 6 \]

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