To find out which of the numbers 1, 2, and 3 is a solution to the inequality \( 2x + 1 \geq 7 \), we can substitute each number into the inequality one by one.
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For \( x = 1 \): \[ 2(1) + 1 = 2 + 1 = 3 \] Check: \( 3 \geq 7 \) (False)
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For \( x = 2 \): \[ 2(2) + 1 = 4 + 1 = 5 \] Check: \( 5 \geq 7 \) (False)
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For \( x = 3 \): \[ 2(3) + 1 = 6 + 1 = 7 \] Check: \( 7 \geq 7 \) (True)
The only number that satisfies the inequality \( 2x + 1 \geq 7 \) is \( x = 3 \).
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