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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]
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]
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 = {Even numbers less than 10}
B = {letters of the word ‘village’}
C = {1, 3, 5, 7}
(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]
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A farmer is arranging fruits into baskets for the market. The set F = {3, 4, 5, 6, 7} represents the number of fruits in five baskets.
(a) What does 7 represent in the set F? [1K]
(b) If the farmer reduces 2 fruits from each basket to form the set G then write the set G by listing method. [1U]
(c) Express set G by description method and set builder method. [1A]
A farmer is arranging fruits into baskets for the market. The set A = {4, 5, 6, 7, 8} represents the number of fruits in five baskets.
(a) What does 4 represent in the set A? [1K]
(b) If the farmer reduces 2 fruits from each basket to form the set B then write the set B by the listing method. [1U]
(c) Express set B by description method and set builder method. [1A]
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]
Given the sets:
P = {Multiples of 2 from 1 to 10}
Q = {Factors of 30}
R = {Odd numbers less than 10}
S = {Square numbers between 1 and 10}
(a) Which of the four sets are equivalence sets? [1U]
(b) Write the subsets of set S. [1A]
(c) Is the set S the proper subset of set P? Write with reason. [1HA]
