To determine which of the numbers 0, 1, or 2 is a solution to the inequality \( 5x + 2 \geq 12 \), we can substitute each number into the inequality and check if it holds true.
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For \( x = 0 \): \[ 5(0) + 2 \geq 12 \implies 2 \geq 12 \quad \text{(False)} \]
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For \( x = 1 \): \[ 5(1) + 2 \geq 12 \implies 5 + 2 \geq 12 \implies 7 \geq 12 \quad \text{(False)} \]
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For \( x = 2 \): \[ 5(2) + 2 \geq 12 \implies 10 + 2 \geq 12 \implies 12 \geq 12 \quad \text{(True)} \]
The only number among 0, 1, and 2 that satisfies the inequality \( 5x + 2 \geq 12 \) is 2.