z
≤
11
Explanation:
Perform the necessary mathematics to isolate and solve for
z
while keeping the inequality balanced:
First, expand the terms within parentheis:
16
≥
(
4
⋅
z
)
−
(
4
⋅
7
)
16
≥
4
z
−
28
Next, add 28 to both sides of the inequality:
16
+
28
≥
4
z
−
28
+
28
44
≥
4
z
−
0
44
≥
4
z
Then, divide each side of the inequality by 4:
44
4
≥
4
z
4
11
≥
(
4
4
)
z
11
≥
1
z
11
≥
z
Finally, "flip" the inequality to put the answer in terms of
z
z
≤
11 theres that