Which of the following is not the solution of |x+3|+xx+2>1?

We have |x+3|+xx+2>1 Clearly, LHS of this inequation is meaningful for x≠−2 .  Now |x+3|+xx+2−1>0⇒ |x+3|−2x+2>0 If |x+3|−2=0⇒x+3=±2⇒x=−5,−1 Hence, the sign scheme of the expression |x+3|−2x+2 is as follows:     From the above sign scheme x∈(−5,−2)∪(−1,∞) .