What number is not part of the solution set for z/5

Question

≠ 7?

The number you are looking for the variable "z" would make both sides equal. You don't want both sides to be the same since the solution set has a ≠. Divide the numbers given by 5 to find your answer.

(1 point)
Responses

30
30

35
35

40
40

45

Answer 1

To find the number that is not part of the solution set for the inequality \( \frac{z}{5} \neq 7 \), we first need to determine what value of \( z \) would make both sides equal.

From the equation \( \frac{z}{5} = 7 \), we can solve for \( z \) by multiplying both sides by 5:

\[ z = 7 \times 5 = 35 \]

This means that if \( z = 35 \), the left-hand side \( \frac{z}{5} \) would equal the right-hand side (7), which we do not want since we are looking for numbers where this inequality is not true.

Therefore, the number that is not part of the solution set for \( \frac{z}{5} \neq 7 \) is:

35