Let's solve your inequality step-by-step.
2(|x+3|)−5>−1
Step 1: Add 5 to both sides.
2(|x+3|)−5+5>−1+5
2(|x+3|)>4
Step 2: Divide both sides by 2.
2(|x+3|)2>42
|x+3|>2
Step 3: Solve Absolute Value.
|x+3|>2
We know eitherx+3>2orx+3<−2
x+3>2(Possibility 1)
x+3−3>2−3(Subtract 3 from both sides)
x>−1
x+3<−2(Possibility 2)
x+3−3<−2−3(Subtract 3 from both sides)
x<−5
Answer:
x>−1 or x<−5
-Hope this helps.
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