How do you solve #abs(x+5)> 2#?

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Answer 1 · 2015-04-21T14:21:15

#x> -3# or #x< -7#

#color(blue)(Solution)#

#abs(x+5)>2#

It has two solutions

Either

#x+5>2# .....(i)

or

#x+5< -2# ....(ii)

Subtracting '5' from both sides of (i)

#x+5-5>2-5#

#x+cancel5-cancel5>2-5#

#x> -3#

Now

Subtracting '5' from both sides of (ii)

# x+5-5< -2-5#

# x+cancel5-cancel5< -2-5#

#x< -7#