Explain why there is no solution to the inequality |w - 2|

Question

Explain why there is no solution to the inequality |w - 2| < -2.

terenzreignz · Answer

What's the deal with absolute values, eh? :D

anonymous · Answer

@terenzreignz I hate them haha but they're sometimes fun.

anonymous · Answer

because when you add two to get w by itself it makes it to be the absolute value of w is less than zero which is impossible

anonymous · Answer

Thank you @hope_nicole!

anonymous · Answer

welcome! :D you can NEVER get a negative answer out of absolute value, just remember that!

terenzreignz · Answer

When you add 2 to get w by itself? Like this...
|w - 2| + 2  < -2 + 2
??

hartnn · Answer

no need to add two....|....anything...| can never be negative 
so |w-2| can never be less than 0, so it can never be less than 2.

hartnn · Answer

**less than -2

terenzreignz · Answer

Nothing wrong with that ^ by the way... except for the part "getting w by itself"
No... adding two on both sides most emphatically does not get the w by itself.