Answer:
x<0 and x>−2
Explanation:
Step 1: Add -3 to both sides.
|x+1|+3+−3<4+−3
|x+1|<1
Step 2: Solve Absolute Value.
|x+1|<1
We know x+1<1 and x+1>−1
x+1<1(Condition 1)
x+1−1<1−1(Subtract 1 from both sides)
x<0
x+1>−1(Condition 2)
x+1−1>−1−1(Subtract 1 from both sides)
x>−2