Which of the following statements is INCORRECT?
AThe empty set is finite
BEvery infinite set can be written in roster form using three dots
CThe set of real numbers is infinite and cannot be written in roster form
DA set of solutions of x² − 16 = 0 over ℝ is finite
Answer & Solution
Correct answer: B. Every infinite set can be written in roster form using three dots
Not every infinite set can be represented in roster form with three dots — e.g., the set of real numbers cannot, because its elements follow no enumerable pattern. The other three statements are correct as per the chapter.
Related questions
If A = {x : x is a letter in the word FOLLOW} and B = {y : y is a letter in the word WOLF}Set A is defined as {x : x is an integer, x² ≤ 4}. Which is the correct roster of A?Let A = {n : n ∈ ℤ and n² ≤ 4} and B = {x : x ∈ ℝ and x² − 3x + 2 = 0}. ThenWhich of the following correctly distinguishes set X (letters of 'ALLOY') and set B (letteConsider C = {x : x − 5 = 0} and E = {x : x is an integral positive root of x² − 2x − 15 =The number n(S) of distinct elements of the set S formed by the letters of the word 'TRIGOIf A and B are two sets such that every element of A is in B and every element of B is in The set-builder form of the set {3, 6, 9, 12} can be written as