Note: in this equation the absolute value marks are symbolized by parenthesis. 2 is less than (4-x). Why would this have no solution? Thank you!!!

Answer 1

But it does have a solution.

2 < │4-x│ which is the same as
│4-x│ > 2
so
(4-x) > 2 OR -(4-x) > 2
x < -2 or x > 6

test: let x=-10
2 < │4+10│ true
let x = 10
2 < │4-10│ ----> 2 < 6 true

take a value between -2 and 6, say x=0
2 < │4-0│ False.

So my answer is correct.