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

Question

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Answer 1

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

1. Testing \( x = 1 \): \[ 2(1) + 1 = 2 + 1 = 3 \] Now check if \( 3 \geq 7 \):
   This is false.

2. Testing \( x = 2 \): \[ 2(2) + 1 = 4 + 1 = 5 \] Now check if \( 5 \geq 7 \):
   This is false.

3. Testing \( x = 3 \): \[ 2(3) + 1 = 6 + 1 = 7 \] Now check if \( 7 \geq 7 \):
   This is true.

Therefore, the number 3 is a solution to the inequality \( 2x + 1 \geq 7 \).