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To solve the inequality \( 2x + 10 \geq 12 \), we need to isolate \( x \) on one side of the inequality. Here are the steps to do that:
1. Subtract 10 from both sides of the inequality to eliminate the constant term on the left side:
\[ 2x + 10 - 10 \geq 12 - 10 \]
\[ 2x \geq 2 \]
2. Divide both sides by 2 to solve for \( x \):
\[ \frac{2x}{2} \geq \frac{2}{2} \]
\[ x \geq 1 \]
Therefore, the solution to the inequality \( 2x + 10 \geq 12 \) is \( x \geq 1 \).
Written so that \( x \) comes first, we have:
\[ x \geq 1 \]