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Let, set P = {1, 2, 3} is given then,
(a) Write all possible subsets that can be formed from set P. [2A]
(b) Distinguish the proper and improper subsets from these subsets. [1U]
Let, set D = {a, b} is given then,
(a) Write all possible subsets that can be formed from set D. [2A]
(b) Distinguish the proper and improper subsets from these subsets. [1U]
Nigam and Sugam are forming two sets. Universal set U = {prime numbers less than 12}, A = {2, 3, 5, 7} and B = {prime numbers between 1 and 8}.
(a) List the elements of set U. [1K]
(b) What is the relation between set U and set A? [1U]
(c) Can set A and set B become equal? Give reason. [1HA]
Niharika and Suharika are forming two sets. Universal set U = {prime numbers less than 9}, A = {2, 3, 5} and B = {odd numbers between 2 and 8}.
(a) List the elements of set U. [1K]
(b) What is the relation between set A and set U? [1U]
(c) Can set A and set B become equivalent? Give reason. [1HA]
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Seema and Reema are comparing letters in words. Set X = {letters in the word ‘dog’} and set Y = {letters in the word ‘god’}.
(a) Are sets X and Y equal or equivalent? [1U]
(b) If set Z = {letters in ‘good’} is it equal to set X? [1A]
(c) If a new set A is formed by taking every elements of X, Y and Z then what will be the relation between set A and sets X, Y and Z? [1HA]
Isha and Nisha are comparing letters in words. Set X = {letters in the word ‘cat’} and set Y = {letters in the word ‘rat’}.
(a) Are sets X and Y equal or equivalent? [1U]
(b) If set Z = {letters in ‘bata’} is it equivalent to set X? [1A]
(c) If a new set A is formed by taking every element of X, Y and Z then what will be the relation between set A and sets X, Y and Z? [1HA]
Shanti and Kanti are playing with a set of numbers A and B where A = {odd numbers less than 9} and B = {prime numbers less than 10}.
(a) List the elements of set A. [1K]
(b) Write the set B in set builder form. [1U]
(c) Are sets A and B equivalent or equal? [1A]
Radha and Krishna are thinking about two sets A and B, where A = {a, c, e} and B = {a, e, i}.
(a) Are sets A and B equal or equivalent? [1K]
(b) If C = {i, u}, is it equivalent set of A? Why or why not? [1U]
(c) What adjustment should be done to set B to make it equivalent to set C? [1HA]
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Muna and Madan are thinking about two sets X and Y, where X = {1, 3, 5} and Y = {3, 1, 5}.
(a) Are sets X and Y equal or equivalent? [1K]
(b) If Z = {4, 5}, is it an equivalent set of X? Why or why not? [1U]
(c) What adjustment should be done to set Y to make it equivalent to set Z? [1HA]
Three sets A, B and C are defined as follows.
A = {Prime numbers less than 10}
B = {Vowels of English alphabets}
C = {1, 2, 4, 8}
(a) Is the type of set A finite or infinite? [1K]
(b) Write the set B by the listing method. [1U]
(c) Express the set C by the set builder method. [1A]