Let's solve your inequality step-by-step.
|−5−3x|>2
|−3x−5|>2
Solve Absolute Value.
|−3x−5|>2
We know either−3x−5>2or−3x−5<−2
−3x−5>2(Possibility 1)
−3x−5+5>2+5(Add 5 to both sides)
−3x>7
−3x
/−3
>
7
/−3 (Divide both sides by -3)
x<
−7
/3
−3x−5<−2(Possibility 2)
−3x−5+5<−2+5(Add 5 to both sides)
−3x<3
−3x
/−3
<
3
/−3 (Divide both sides by -3)
x>−1
Answer:
x<
−7
/3 or x>−1
Step-by-step explanation:
