To solve the inequality \( x - 8 \geq 5 \), we want to isolate \( x \) on one side of the inequality.
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Start with the original inequality: \[ x - 8 \geq 5 \]
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Add \( 8 \) to both sides to isolate \( x \): \[ x - 8 + 8 \geq 5 + 8 \]
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Simplifying both sides gives: \[ x \geq 13 \]
Now, to write the inequality so that \( x \) comes first, we simply rearrange it:
The final inequality is: \[ x \geq 13 \]
This means \( x \) is greater than or equal to \( 13 \).