Question

Which of the numbers 1, 2, and 3 is a solution of 2x+1≥7 ?(1 point)

Answer 1

To determine which of the numbers 1, 2, and 3 is a solution of the inequality \(2x + 1 \geq 7\), we can test each number by substituting them into the inequality.

1. For \(x = 1\):
\[
2(1) + 1 = 2 + 1 = 3
\]
Since \(3 \geq 7\) is false, \(x = 1\) is not a solution.

2. For \(x = 2\):
\[
2(2) + 1 = 4 + 1 = 5
\]
Since \(5 \geq 7\) is false, \(x = 2\) is not a solution.

3. For \(x = 3\):
\[
2(3) + 1 = 6 + 1 = 7
\]
Since \(7 \geq 7\) is true, \(x = 3\) is a solution.

Thus, the number that is a solution of \(2x + 1 \geq 7\) is **3**.