Sets

Given the sets:

P = {Natural numbers from 1 to 10}

Q = {Odd numbers less than 6}

R = {Cube numbers from 1 to 10}

S = {Square numbers less than 15}

(a) Which of the four sets are equivalence sets? [1U]

(b) Write the subsets of set R. [1A]

(c) Is the set S the proper subset of set P? Write with reason. [1HA]

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]

Given the sets: P = {Prime numbers less than 10} Q = {Odd numbers less than 8} R = {Prime factors of 6} S = {Cube numbers from 10 to 20}

(a) Which of the four sets are equivalence sets? [1U]

(b) Write the subsets of set R. [1A]

(c) Is the set S the proper subset of set P? Write with reason. [1HA]

Given the sets:

P = {Prime numbers less than 10}

Q = {Even numbers less than 8}

R = {Prime factors of 10}

S = {Square numbers less than 15}

(a) Which of the four sets are equivalence sets? [1U]

(b) Write the subsets of set R. [1A]

(c) Is the set R the proper subset of set P? Write with reason. [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]

Simanta made the set of numbers between 10 and 50 when they are divided by 5 then the remainder is 2.

(a) Write the names of the methods of representing sets. [1K]

(b) Write the numbers using the listing method. [1U]

(c) Express the set using the set builder method. [1A]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

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]

Let, set A = {1, 2} is given then,

(a) Write all possible subsets that can be formed from set A. [2A]

(b) Distinguish the proper and improper subsets from these subsets. [1U]

Let, set M = {a, e, i} is given then,

(a) Write all possible subsets that can be formed from set M. [2A]

(b) Distinguish the proper and improper subsets from these subsets. [1U]

Two sets are A = {2, 3, 5} and B = {2, 3, 5, 6, 7}.

(a) Write the relation between sets A and B. [1U]

(b) Show the sets A and B in a Venn-diagram. [2A]

(c) What is the number of proper subsets of set B? [1A]

(d) What adjustment should be done in set A to make it an improper subset of set B? [1HA]

Two sets are A = {2, 3, 5} and B = {2, 3, 5, 6, 7}.

(a) Write the relation between sets A and B. [1U]

(b) Show the sets A and B in a Venn-diagram. [2A]

(c) What is the number of proper subsets of set B? [1A]

(d) What adjustment should be done in set A to make it an improper subset of set B? [1HA]

Two sets are A = {a, c, e} and B = {a, e, i, o, u}.

(a) Write the relation between sets A and B. [1U]

(b) Show the sets A and B in a Venn-diagram. [2A]

(c) What is the number of proper subsets of set B? [1A]

(d) What adjustment should be done in set A to make it an improper subset of set B? [1HA]

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]

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]

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]

If U = {x : x is a natural number, x <= 20}, P = {x : x is a multiple of 4 less than 20} and Q = {x : x is a multiple of 5 less than 20},

(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]

If A = {x : x is a letter of word ‘flow’}, B = {x : x is a letter of word ‘flew’} and U = {x : x is a letter of word ‘flower’},

(a) Write the elements of sets A and B by the listing method. [1U]

(b) Show the relationship of U, A and B in the Venn diagram. [1A]

(c) Construct the subsets of set A. [2U]

If A = {x : x is a letter of word ‘bowl’}, B = {x : x is a letter of word ‘elbow’} and U = {x : x is a letter of word ‘below’},

(a) Write the elements of sets A and B by the listing method. [1U]

(b) Show the relationship of U, A and B in the Venn diagram. [1A]

(c) Construct the subsets of set A. [2U]