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To determine if a number is a solution to the inequality 2x + 1 ≥ 7, we need to substitute the number into the inequality and see if it holds true.
Let's start by checking if 1 is a solution:
2(1) + 1 ≥ 7
2 + 1 ≥ 7
3 ≥ 7
This is not true, so 1 is not a solution to the inequality.
Next, let's check if 2 is a solution:
2(2) + 1 ≥ 7
4 + 1 ≥ 7
5 ≥ 7
This is also not true, so 2 is not a solution to the inequality.
Lastly, let's check if 3 is a solution:
2(3) + 1 ≥ 7
6 + 1 ≥ 7
7 ≥ 7
This is true, so 3 is a solution to the inequality.
Therefore, the number 3 is the only solution to the inequality 2x + 1 ≥ 7.