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

2 answers

We can solve for x by subtracting 1 from both sides of the inequality:

2x+1≥7
2x≥6
x≥3

Now we can check whether 1, 2, or 3 satisfies the inequality:

For x=1:

2(1)+1 = 3 < 7
1 is not a solution.

For x=2:

2(2)+1 = 5 < 7
2 is not a solution.

For x=3:

2(3)+1 = 7 ≥ 7
3 is a solution.

Therefore, the number 3 is a solution of the inequality 2x+1≥7.
To find out which numbers are a solution, let's solve the inequality:

2x + 1 ≥ 7

Subtract 1 from both sides:

2x ≥ 6

Divide both sides by 2:

x ≥ 3

So, the number 3 is a solution of the inequality 2x + 1 ≥ 7.
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