If-x-5-x-5-then-x-x-would-be-greater-than-a-5-2-b-5-3-c-5-d-5-1-e-5-1-

Question Number 113154 by I want to learn more last updated on 11/Sep/20

If ⌊ x + \sqrt{5} ⌋ = ⌊ x ⌋ + ⌊ 5 ⌋

then ⌊ x ⌋ - x would be greater than

(a) \sqrt{5} - 2 (b) \sqrt{5} - 3 (c) \sqrt{5} (d) \sqrt{5} + 1 (e) \sqrt{5} - 1

Answered by 1549442205PVT last updated on 11/Sep/20

[x] - x < 0, \sqrt{5} - 2 > 0, \sqrt{5} > 0, \sqrt{5} + 1 > 0, \sqrt{5} - 1 > 0

\sqrt{5} - 3 < 0, so [x] - x > \sqrt{5} - 3

Choose b)

Commented by I want to learn more last updated on 11/Sep/20

Thanks sir