Absolute Value Inequality: Solve: |x+1|-2

Question

Absolute Value Inequality: Solve: |x+1|>-2

anonymous · Answer

x > -3 is the answer <3

anonymous · Answer

look at the big picture... that left side, no matter what x is will always be non-negative.  any non-negative is always bigger than a negative number.

campbell_st · Answer

this problem has 2 parts.... absolute values can be positive of negative so look at both cases (x + 1) >-2 and -(x + 1)>-2 x > -3 x+1 < 2 multiply by a negative revserse the inequality x < 3 to the inequality that describes x is -3 < x< 3

anonymous · Answer

the solution is all reals...

anonymous · Answer

dpalnc is the one whose right!

hero · Answer

There is no step by step solution to the answer, other than to realize that the || means absolute value and that absolute value means distance. Therefore, no matter what x is, the right side will always be greater than the left side.

hero · Answer

If you wanted to represent that in standard notation, you could right it this way: 
$$-\infty < x< \infty$$