In which of the given sets of numbers are all the numbers solutions of 4x+7≠23? (1 point)
Responses
A: 1, 2, 3, 4
B: 3, 4, 6, 7
C: 2, 3, 5, 6
D: 4, 5, 6, 7
First, we need to find the value of x that makes the equation true:
4x + 7 ≠ 23
Subtract 7 from both sides:
4x ≠ 16
Divide by 4:
x ≠ 4
Now we know that x cannot equal 4. Let's check each set of numbers to see which one does not include 4 as a solution:
A: 1, 2, 3, 4 (includes 4, so not a solution)
B: 3, 4, 6, 7 (includes 4, so not a solution)
C: 2, 3, 5, 6 (does not include 4, so possible solution)
D: 4, 5, 6, 7 (includes 4, so not a solution)
Therefore, the correct answer is:
C: 2, 3, 5, 6