Q8 of 58 Page 12

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by

(i) 4n


(ii) n + 6


(iii)


(iv) n – 1

(i) Given: X = {1, 2, 3} where n represents any member of X


To find: sets containing all numbers represented by 4n


X = {1, 2, 3}


{4n | n ∈ x}


= {4*1, 4*2, 4*3}


= {4, 8, 12}


(ii) Given: X = {1, 2, 3} where n represents any member of X


To find: sets containing all numbers represented by n + 6


X = {1, 2, 3}


{n + 6 | n ∈ x}


= {1 + 6, 2 + 6, 3 + 6}


= {7, 8, 9}


(iii) Given: X = {1, 2, 3} where n represents any member of X


To find: sets containing all numbers represented by


X = {1, 2, 3}




(iv) Given: X = {1, 2, 3} where n represents any member of X


To find: sets containing all numbers represented by n – 1


X = {1, 2, 3}


{n – 1 | n ∈ x}


= {1 – 1, 2 – 1, 3 – 1}


= {0, 1, 2}


More from this chapter

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6

If A and B are subsets of the universal set U, then show that

(i) A ⊂ A ∪ B


(ii) A ⊂ B ⇔ A ∪ B = B


(iii) (A ∩ B) ⊂ A

 7

Given that N = {1, 2, 3 ,..., 100}. Then write

(i) the subset of N whose elements are even numbers.


(ii) the subset of N whose element are perfect square numbers.

 9

If Y = {1, 2, 3,..., 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

(i) a ∈ Y but a2∉ Y


(ii) a + 1 = 6, a ∈ Y


(iii) a is less than 6 and a ∈ Y

 10

A, B and C are subsets of Universal Set U. If A = {2, 4, 6, 8, 12, 20}, B = {3, 6, 9, 12, 15}, C = {5, 10, 15, 20} and U is the set of all whole numbers, draw a Venn diagram showing the relation of U, A, B and C.