Plug in the first coordinate for x.
Plug in the second coordinate for y.
Simplify
If what you get is true, then it IS a solution
If what you get is false it is NOT a solution.

Let's plug in (0,0)
We plug in 0 for x and 0 for y:
y < |x-3|+5
0 < |0-3|+5
0 < |-3|+5
0 < 3+5
0 < 8
TRUE, so (0,0) IS a solution.

Let's plug in (1,3)
We plug in 1 for x and 3 for y:
y < |x-3|+5
3 < |1-3|+5
3 < |-2|+5
3 < 2+5
3 < 7
TRUE, so (1,3) IS a solution.

Let's plug in (2,6)
We plug in 2 for x and 6 for y:
y < |x-3|+5
6 < |2-3|+5
6 < |-1|+5
6 < 1+5
6 < 6
FALSE, 6 is NOT less than 6 because it EQUALS 6
so (2,6) IS NOT a solution.

So we've found it.  But let's do the last one anyhow
to make sure there's only one answer:

Let's plug in (3,4)
We plug in 3 for x and 4 for y:
y < |x-3|+5
4 < |3-3|+5
4 < |-1|+5
4 < 1+5
4 < 6
TRUE, so (3,4) IS a solution.

Edwin