Question

How do you solve `abs(2-x)>abs(x+1)`?

Answer 1

To solve this problem I started by substituting positive and negative numbers into the expression to get a sense of the answer. It is pretty clear most positive numbers would make the sentence false:

`if x = 100` then `98 < 101`

`if x=1` then `1<2`

Also it is clear negative numbers will make the statement true since
`2 - (-x) = 2 + x`

`if x = -5` then `7>4`

To solve the inequality:
`2-x > x+1`
`1 > 2x`
`0.5>x`
`x<0.5`

This answer makes sense (one last check):
`if x = 0.25` then `1.75 >1.25`