To solve the inequality \( 2x - 10 \leq 52 \), we will first isolate \( x \).
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Add 10 to both sides: \[ 2x - 10 + 10 \leq 52 + 10 \] \[ 2x \leq 62 \]
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Divide both sides by 2: \[ \frac{2x}{2} \leq \frac{62}{2} \] \[ x \leq 31 \]
So the solution to the inequality \( 2x - 10 \leq 52 \) is: \[ x \leq 31 \]
This means that the possible values of the number \( x \) can be any value that is less than or equal to 31.