That's a verrrrrry interesting number ! It belongs to an infinite number of sets, and I'm pretty busy right now.
Here are just a few of them:
-- real numbers -- rational numbers -- positive numbers -- mixed numbers -- multiples of 0.1 -- multiples of 0.2 -- multiples of 0.3 -- multiples of 0.4 -- multiples of 0.6 -- multiples of 0.8 -- multiples of 0.9 -- multiples of 1.2 -- numbers less than 7.21 -- numbers less than 7.22 -- numbers less than 7.23 . . etc.
-- numbers greater than 7.19 -- numbers greater than 7.18 -- numbers greater than 7.17 . . etc.