(i) Find the value of `a = [{x}] + [{-x}] + {[x]} + {[-x]} + {x} + {-x}`
(ii) Solve the equation `2x = [x] + {x}`

Explanation

(i) If x is integer, then a = 0 + 0 + 0 + 0 + 0 + 0 = 0
If x is non-integer, then a = 0 + 0 + 0 + 0 + (1) = 1
(iii) 2x = [x] + {x}
But [x] + {x} = x
`rArr 2x = x rArr x = 0`