I don't get it.. please help me understand this, ( Solve for x: | x + 3 | > 1 ) ??

Question

I don't get it.. please help me understand this, ( Solve for x: | x + 3 | > 1 ) ??

Answer 1

If x + 3 > 1 then its absolute value will be too since it's positive.  So add -3 to both sides getting x > -2.

But if x + 3 < -1, its absolute value will be greater than 1.  So use that too.  Add -3 to both sides getting x < -4

So the answer is x < -4 or x > -2.

Answer 2

x+3 must be higher than 1.

Try x=1    x+3>1 YES    4 >1

Try x= -5    x+3>1 NO -2<1

x is real number that is higher than -2. (not equal to -2)