Which values satisfy the inequality? |z| ≤ 5

Choose all answers that are correct.

A.

z = - 6

B.

z = - 5

C.

z = - 1

D.

z = 8

|z| ≤ 5 ⇔ z ≤ 5 ∧ z ≥ - 5 ⇒ - 5 ≤ z ≤ 5

Answer:

B. - 5 because - 5 ≤ - 5 ≤ 5

C. - 1 because - 5 ≤ - 1 ≤ 5

B and C

When finding the absolute value of a number, a simple way to think of it is taking away a negative sign if there is one.

After making every number positive we can see that 5 and 1 are less than or equal to 5.