passwella.
Menu

GCE Mathematics 1990 Question 14

Question 14

Sets

Let J be the set of positive integers. If H = {x : x ∈ J, x2 < 3 and x ≠ 0}, then

  1. A.H = {1}
  2. B.H is an infinite set
  3. C.H = {0, 1, 2}
  4. D.H = { }
  5. E.J ⊂ H
Show the answer and explanation

Answer: A (H = {1})

Explanation

The only positive integer whose square is less than 3 is 1 (22 = 4 is too big), so H = {1}.