SolveForX

Sets — Class 11 solved problems

19 problems from this chapter, each solved step by step.

  1. Let V = a, e, i, o, u and B = a, i, k, u. Find V - B and B - V.

    V - B = e, o and B - V = k

  2. Let X = Ram, Geeta, Akbar be the set of students of Class XI, who are in school hockey team. Let Y = Geeta, David, Ashok be the set of students from Class XI wh

    X Y = Ram, Geeta, Akbar, David, Ashok

  3. Write the solution set of the equation x² + x - 2 = 0 in roster form.

    1, -2

  4. Let A=1,2,3, B=3,4 and C=4,5,6. Find (i) A ×(B C) (ii) (A × B) (A × C) (iii) A ×(B C) (iv) (A × B) (A × C)

    (i) A × (B C) = (1,4), (2,4), (3,4) (ii) (A × B) (A × C) = (1,4), (2,4), (3,4) (iii) A × (B C) (1,3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,3)

  5. Consider the experiment of rolling a die. Let A be the event 'getting a prime number', B be the event 'getting an odd number'. Write the sets representing the e

    (i) A B = 1, 2, 3, 5 (ii) A B = 3, 5 (iii) A - B = 2 (iv) A' = 1, 4, 6

  6. Consider the sets, A = 1, 3, B = 1, 5, 9, C = 1, 3, 5, 7, 9. Insert the symbol or ot between each of the following pair of sets: (i)... B (ii) A... B (iii) A...

    (i) B (ii) A B (iii) A C (iv) B C

  7. State which of the following sets are finite or infinite: (i) x: x N and (x - 1)(x - 2) = 0 (ii) x: x N and x²= 4 (iii) x: x N and 2x -1 = 0 (iv) x: x N and x i

    (i) Finite, (ii) Finite, (iii) Finite, (iv) Infinite, (v) Infinite

  8. Let X = Ram, Geeta, Akbar be the set of students of Class XI, who are in school hockey team. Let Y = Geeta, David, Ashok be the set of students from Class XI wh

    X Y = Geeta

  9. Write the set x: x is a positive integer and x²< 40 in the roster form.

    The set in roster form is 1, 2, 3, 4, 5, 6.

  10. Which of the following pairs of sets are equal? Justify your answer. (i) X, the set of letters in “ALLOY” and B, the set of letters in “LOYAL”. (ii) A = n: n Z

    (i) The sets X and B are equal. (ii) The sets A and B are not equal.

  11. Let A = a, e, i, o, u and B = a, i, u. Show that A B = A.

    It is shown that A B = A.

  12. Let A=(x, y) R × R: |x+y| 3 and B=(x, y) R × R: |x|+|y| ≤ 3. If C=(x, y) A B: x=0 or y=0, then Σ_(x, y) C|x+y| is:

    12

  13. Write the set (1)/(2),(2)/(3),(3)/(4),(4)/(5),(5)/(6),(6)/(7) in the set-builder form.

    The set in set-builder form is (n)/(n+1): n N, 1 ≤ n ≤ 6.

  14. 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:

    (i) P, R, I, N, C, A, L (d) x: x is a letter of the word PRINCIPAL (ii) 0 (c) x: x is an integer and x + 1= 1 (iii) 1, 2, 3, 6, 9, 18 (a) x: x is a positive int

  15. Find the pairs of equal sets, if any, give reasons: A = 0 B = x: x > 15 and x < 5 C = x: x - 5 = 0 D = x: x² = 25 E = x: x is an integral positive root of the e

    The pairs of equal sets are C = E because both sets contain only the element 5.

  16. Let U be the universal set of all the students of Class XI of a coeducational school and A be the set of all girls in Class XI. Find A'.

    The set A' is the set of all boys in Class XI.

  17. Show that A B = A B implies A = B.

    The statement A B = A B implies A = B.

  18. Let A = 1, 2, 3,, 10 and B = (m)/(n): m, n A, m < n and (m, n) = 1. Then n(B) is equal to:

    31

  19. Write the set A = 1, 4, 9, 16, 25,... in set-builder form.

    A = x x = n², n N

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