what number is not part of the solution set z/2 not equal to or does not equal to 6?

Given:
6
12
2
3

1 answer

To determine which number is not part of the solution set for the inequality \( z/2 \neq 6 \), we can first simplify the inequality.

Starting from the equation: \[ z/2 \neq 6 \]

To isolate \( z \), multiply both sides by 2: \[ z \neq 12 \]

So, the value that \( z \) cannot be is 12. Now we can check the numbers given:

  • 6: does not equal 12
  • 12: equals 12
  • 2: does not equal 12
  • 3: does not equal 12

Therefore, the number that is not part of the solution set is 12.