To solve this inequality, we need to find a common denominator for the fractions involved. The least common denominator for 4, 5, and 6 is 60.

So, we rewrite the inequality with the common denominator:

1/4 = 15/60
1/5 = 12/60
1/6 = 10/60

Now the inequality becomes:

15/60 - 12/60 + 10/60

Simplifying the expression:

15 - 12 + 10 = 13

So, the inequality becomes:

13/60

Therefore, 1/4 - 1/5 + 1/6 < 13/60.