To determine 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:
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For \(x = 1\): \[ 2(1) + 1 = 2 + 1 = 3 \] Since \(3 < 7\), \(x = 1\) is not a solution.
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For \(x = 2\): \[ 2(2) + 1 = 4 + 1 = 5 \] Since \(5 < 7\), \(x = 2\) is not a solution.
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For \(x = 3\): \[ 2(3) + 1 = 6 + 1 = 7 \] Since \(7 \geq 7\), \(x = 3\) is a solution.
Thus, the number that is a solution of the inequality \(2x + 1 \geq 7\) is 3.