how do you solve x<x+5<2x+9
There are two inequalities here,
x < x + 5 and x + 5 < 2x + 9
The 1st inequality is obviously true for all x, so we can ignore it.
The 2nd inequality is, x + 5 < 2x + 9
subtract x from both sides, to give
5 < x + 9
subtract 9 from both sides
-4 < x, or
x > -4 (which also satisfies the 1st inequality
Answer: x > -4