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NCERT Exemplar Class 11 Maths Chapter 1 Sets Exercise Solutions True or False Questions
Table of Contents
Solved True or False Type Questions of NCERT Exemplar Sets Exercise
State True or False for the following statements in each of the Exercises from 53 to 58 :
Question 53
If A is any set, then A ⊂ A
Answer 53
True as every set is a subset of itself
Question 54 Given that M = {1, 2, 3, 4, 5, 6, 7, 8, 9} and if B = {1, 2, 3, 4, 5, 6, 7, 8, 9}, then B ⊄ M
Answer 54.
False as B = M
B ⊂ M and M ⊂ B
Question 55. The sets {1, 2, 3, 4} and {3, 4, 5, 6} are equal.
Answer 55.
False as 1 and 2 belong to {1, 2, 3, 4} but not to {3, 4, 5, 6} and 5 and 6 belong to {3, 4, 5, 6} but not to {1, 2, 3, 4}
The two sets do not contain the same elements
Question 56. Q ∪ Z = Q, where Q is the set of rational numbers and Z is the set of integers.
Answer 56. True, since every integer is a rational number
Question 57. Let sets R and T be defined as
R = {x ∈ Z | x is divisible by 2}
T = {x ∈ Z | x is divisible by 6}. Then T ⊂ R
Answer 57. R = { …,-8, -6, -4, -2, 0, 2, 4, 6, 8,…}
T = { …,-18, -12, -6, 0, 6, 12, 18…}
Every element of T is in R, so, T ⊂ R
Statement is True
Question 58.
Given A = {0, 1, 2}, B = {x ∈ R | 0 ≤ x ≤ 2}. Then A = B.
Answer 58.
A = {0,1,2}
B is every real number between 0 and 2 including 0 and 2
So, A ≠ B, statement is False