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Question

Solve |x+1|>4,xϵR

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Solution

We have,
|x+1|>ax<a or x>a

|x+1|>4x+1<4 or x+1>4

x<41 or x>41

x<5 or x>3

xϵ(,5) or xϵ(3,)

solution set =(,5)(3,)


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