Question

if [X + [X]] less than or equal 2 then X belongs to​

Answer 1

Answer:

Correct option is

A

(−∞,−2)∪(0,4)∪(6,∞)

Given,

∣∣x−2∣−3∣>1

⟹∣x−2∣−3>1 or ∣x−2∣−3<−1

⟹∣x−2∣>4 or ∣x−2∣<2

⟹x−2>4 or x−2<−4 or −2<x−2<2

⟹x>6 or x<−2 or 0<x<4

So the answer is(6,∞)∪(−∞,−2)∪(0,4)