Question

What number is not part of the solution set: z/2 =/ 6
6
12
2
3

Answer 1

To solve for \( z \) in the equation \( \frac{z}{2} = 6 \), we can isolate \( z \) by multiplying both sides of the equation by 2:

\[
z = 6 \times 2
\]
\[
z = 12
\]

Now we have determined that the solution to the equation is \( z = 12 \).

Now, let's check which number from the given options (6, 12, 2, 3) is **not** part of the solution set. The only solution we found is \( 12 \).

- 6: Not a solution to \( z/2 = 6 \)
- 12: Solution to \( z/2 = 6 \)
- 2: Not a solution to \( z/2 = 6 \)
- 3: Not a solution to \( z/2 = 6 \)

Therefore, the numbers that are not part of the solution set are 6, 2, and 3.

To specifically answer the question of which number is not part of the solution set, the notable options are:
- 6
- 2
- 3

If we want one distinct answer, the answer is **6** as it's the smallest and the option given initially. However, all given numbers except for 12 are not part of the solution set.