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Match each of the set on the left described in the roster form with the same set on the right described in the set-builder form :
(i) {P, R, I, N, C, A, L} (a) { x : x is a positive integer and is a divisor of 18}
(ii) { 0 } (b) { x : x is an integer and `x^(2) – 9 = 0`}
(iii) {1, 2, 3, 6, 9, 18} (c) {x : x is an integer and `x + 1= 1`}
(iv) `{3, –3}` (d) {x : x is a letter of the word PRINCIPAL}

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Match each of the set on the left in the roster form with the same set on the right described in set builder form :

Match roster forms with the set builder form. (i) {p,r,I,n,c,a,l} (a) {x : x is a positive integer and is a divisor of 18} (ii) {0} (b) {x : x is an integer and x^(2)-9=0} (iii) {1,2,3,6,9,18} (c) {x : x is an integer and x+1=1} (iv) {3,-3} (d) {x : x is a letter of the word PRINCIPAL}

Match each of the set on the left in the roster form with the same set on the right described in set-builder form: (i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6} (ii) {2, 3} (b) {x : x is an odd natural number less than 10} (iii) {M,A,T,H,E,I,C,S} (c) {x : x is natural number and divisor of 6} (iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}.

Write the following sets in the set-builder form : (3, 6, 9, 12}

Write the following sets in the set builder form : B= {-2, -1, 0, 1, 2, 3, 4}

Write the following sets in the set-builder form : {2, 4, 6, . . .}

Match the roster form with set builder form. (i) {1,2,3,6} (a) {x : x is prime number and a divisior of 6} (ii) {2,3} (b) {x : x is an odd natural number smaller than 10} (iii) {m,a,t,h,e,I,c,s} (c) {x : x is a natural number and divisor of 6} (iv) {1,3,5,7,9} (d) {x : x is a letter of the word MATHEMATICS}

Write the following sets in the set-builder form : {5, 25, 125, 625}

Write the following sets in the set-builder form : {1,4,9, . . .,100}

Write the following intervals in set-builder form : (– 3, 0)

NCERT GUJARATI-SETS-MISCELLANEOUS EXERCISE ON CHAPTER 1
  1. Match each of the set on the left described in the roster form with th...

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  2. Decide, among the following sets, which sets are subsets of one and a...

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  3. In each of the following, determine whether the statement is true or f...

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  4. In each of the following, determine whether the statement is true or f...

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  5. In each of the following, determine whether the statement is true or f...

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  6. In each of the following, determine whether the statement is true or f...

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  7. In each of the following, determine whether the statement is true or f...

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  8. In each of the following, determine whether the statement is true or f...

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  9. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

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  10. Show that if A ⊂ B, then C – B ⊂ C – A.

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  11. Assume that P ( A ) = P ( B ). Show that A = B

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  12. Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B )?...

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  13. Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A – B ) and A ∪ ...

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  14. Using properties of sets, show that A ∪ ( A ∩ B ) = A

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  15. Using properties of sets, show that A ∩ ( A ∪ B ) = A.

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  16. Show that A ∩ B = A ∩ C need not imply B = C.

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  17. Let A and B be sets. If A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some s...

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  18. Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty s...

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  19. In a survey of 600 students in a school, 150 students were found to be...

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  20. In a group of students, 100 students know Hindi, 50 know English and 2...

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  21. In a survey of 60 people, it was found that 25 people read newspaper H...

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