Question

How do you solve `2x-5<x+1`?

Answer 1

You can solve it as a normal equation isolating `x` on one side (changing signs when necessary) and "reading", at the end, the result:
`2x-x<5+1`
`x<6`
This tells you that for the first equation to be smaller than the second you cal only choose values of `x` which are `<6`.
If you try, for example, `x=7` (which is bigger than `6`) you get:
`2*7-5<7+1`
`9<8` which is not true!
Instead if you try, for example, `x=5` (which is smaller than `6`) you get:
`2*5-5<5+1`
`5<6` which is true!

Hope it helps!