-5 <9g + 22<4
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Answer:
Step-by-step explanation:
let’s try to solve this compound inequality:
-5 ≤ 9g + 22 ≤ 4
⇔
-5 - 22 ≤ 9g ≤ 4 - 22
⇔
-27 ≤ 9g ≤ -18
⇔
[tex]\frac{-27}{9} \leq x\leq \frac{-18}{9}[/tex]
⇔
[tex]-3\leq x\leq -2[/tex]
which is the set described in option D
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Answer:
D
Step-by-step explanation:
-5 ≤ 9g+22 ≤ 4
-5 ≤ 9g+22
9g+22 ≤ 4
-5-22 ≤ 9g
-27 ≤ 9g
-3 ≤ g
9g+22 ≤ 4
9g ≤ 4-22
9g ≤ -18
g ≤ -2
{g| -3 ≤ g ≤ -2}