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If U = {x : x is a natural number, x <= 15}, P = {x : x is a multiple of 3 less than 15} and Q = {x : x is a multiple of 4 less than 15}.
(a) Write the elements of sets P and Q by the listing method. [1U]
(b) Show the relationship of U, P and Q in the Venn diagram. [1A]
(c) Construct the subsets of set Q. [2U]
Sets P = {a, e, i, o} and Q = {i, o, u} are the subsets of universal set U = {a, e, i, o, u}.
(a) Write the improper and proper subsets of set Q. [1A]
(b) Show the sets P, Q and U in a Venn-diagram. [2A]
(c) Write the set of common elements in sets P and Q. [1U]
Sets X = {6, 7, 8, 9} and Y = {5, 6, 7} are the subsets of universal set U = {4, 5, 6, 7, 8, 9}.
(a) Write the improper and proper subsets of set Y. [1A]
(b) Show the sets X, Y and U in a Venn-diagram. [2A]
(c) Write the set of common elements in sets X and Y. [1U]
Sapana and Bipana are discussing sets A = {a, e, i, o, u} and B = {a, c, e, i, m}.
(a) Are the sets A and B equal or equivalent? [1K]
(b) Which elements in sets A and B are same? [1U]
(c) If C = {letters of the word ‘mosaic’} then, is it a subset of set A? Give reason. [1A]
(d) What adjustment should be made to set C to make it the subset of set B? [1HA]
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Ravi and Chhabi are playing with a set of numbers A and B where A = {even numbers less than 10} and B = {multiple of 2 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 equal or equivalent? [1A]
Anita and Manita are discussing sets A = {a, e, i, o} and B = {c, d, e, f}.
(a) Are the sets A and B equal or equivalent? [1K]
(b) Which elements in sets A and B are same? [1U]
(c) If C = {letters of the word ‘ocean’} then, is it a subset of set A? Give reason. [1A]
(d) What adjustment should be made to set C to make it the subset of set B? [1HA]
In a class, a set formed by the letters of the English alphabet is given to the students. (Venn diagram A contains elements: a, b, c, d, e, g)
(a) Which element in the figure represents the dissimilar properties? [1K]
(b) Name the set when a dissimilar element is removed. [1U]
(c) Represent the set by description method and set builder method. [1A]
(d) If an element ‘e’ is again removed from the set, express the set of the remaining elements by the set builder method. [1HA]
In a class, a set formed by the letters of the English alphabets is given to the students. (Venn diagram A contains elements: a, e, i, o, p, u)
(a) Which element in the figure represents dissimilar properties? [1K]
(b) Name the set when a dissimilar element is removed. [1U]
(c) Represent the set by description method and set builder method. [1A]
(d) If an element ‘u’ is again removed from the set, express the set of the remaining elements by the set builder method. [1HA]
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Umakanta made the set of numbers between 5 and 50 when they are divided by 8 then the remainder is 3.
(a) What is the description method to represent a set? [1K]
(b) Write the numbers using the listing method. [1U]
(c) Express the set using the set builder method. [1A]
(d) Which method to represent the set is the most difficult for this scenario and why? [1HA]
