In which of the given sets of numbers are all the numbers solutions of 4 x + 7 ≠ 23?

Answer 1

The set of numbers in which all the numbers are solutions of 4x + 7 ≠ 23 would be any set of numbers that do not satisfy the equation 4x + 7 = 23.

Therefore, in the given sets of numbers, any set that does not contain a number that when substituted into the equation makes it true would be a set in which all numbers are solutions.

For example, if we have the set {1, 2, 3}, all the numbers in this set do not satisfy the equation 4x + 7 = 23 because when substituted:
- For x = 1: 4(1) + 7 = 11 ≠ 23
- For x = 2: 4(2) + 7 = 15 ≠ 23
- For x = 3: 4(3) + 7 = 19 ≠ 23

Therefore, the set {1, 2, 3} would be a set of numbers in which all numbers are solutions of 4x + 7 ≠ 23.