To solve the inequality \( 2x + 10 \geq 12 \), we will first isolate \( x \).
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Subtract 10 from both sides: \[ 2x \geq 12 - 10 \] \[ 2x \geq 2 \]
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Now, divide both sides by 2: \[ x \geq 1 \]
Rearranging this so that \( x \) comes first, we write:
\[ x \geq 1 \]
So the solution to the inequality is: \[ x \geq 1 \]