Home › CBSE Class 11 › mathematics › Sets — Definitions, Roster vs Set-Builder, Empty/Finite/Infinite/Equal Sets, Subsets › Which statement about the EMPTY SET ∅ is INCORRE…
Which statement about the EMPTY SET ∅ is INCORRECT?
A∅ has zero elements, so n(∅) = 0
B∅ is equal to {0}
C∅ is a subset of every set
D∅ is denoted by ∅ or { }
Answer & Solution
Correct answer: B. ∅ is equal to {0}
{0} contains one element (the number zero) — it is NOT empty. ∅ contains no element at all. ∅ ⊂ S for every set S; n(∅) = 0; standard notation is ∅ or { }.
Related questions
For A = {1, 2, 3}, identify which is a PROPER subset of A.A = {1, 3, 5} and B = {x : x is an odd natural number less than 6}. What is the relationshWhich collection is NOT a well-defined set?Let A = {n ∈ ℤ : n² ≤ 4} and B = {x ∈ ℝ : x² − 3x + 2 = 0}. Are A and B equal?Set X = letters in 'ALLOY'; set B = letters in 'LOYAL'. Compare:For the equation x² + x − 2 = 0, the solution set in roster form is:Which set is FINITE?Sets B = {x : x > 15 and x < 5}, C = {x : x − 5 = 0}, E = {x : x is an integral positive r