Home
Class 11
MATHS
Which of the following pairs of sets are...

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 and n^(2) ≤ 4} and B = {x : x ∈ R and x^(2) – 3x + 2 = 0}`.

Text Solution

Verified by Experts

The correct Answer is:
Then X and B are equal sets.
Promotional Banner

Topper's Solved these Questions

  • SETS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|37 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|17 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise LATEST EXAMS MCQs|2 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

Similar Questions

Explore conceptually related problems

Which of the following are sets ? Justify your answer. The collection of all the months of a year beginning with the letter J.

Are the following pari of sets equal? Give reasons A= {x : x is a letter in the word LOYAL} B= { y : y is a letter in the word ALLOY}.

Are the following pair of sets equal? Give reasons A= {x : x is a letter in the word REAP} B= {y : y is a letter in the word ROPE}.

Which of the following pairs of sets are disjoint : {x : x is a letter in the word july} {x : x a letter in the word March}

Which of the following sets are empty sets ? {x : x in N, 5 lt x lt 6}

Which of the following pairs of sets are disjoint : {x : x in N, 1 lt x lt 5} {x : x in Z, -5 lt x lt 1}

Which of the following sets are empty sets ? {x : x in N, x^(2)= 9}

Which of the following sets are empty sets ? {x : x in R, x^(2)+2=0}

Which of the following pairs of sets are disjoint {1, 2, 3, 4} and { x : x is a natural number and 4 ≤ x ≤ 6 }

KUMAR PRAKASHAN-SETS-TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. State which of the following sets are finite or infinite : {x : x in...

    Text Solution

    |

  2. Find the pairs of equal sets, if any, give reasons: A = {0}, B = {x ...

    Text Solution

    |

  3. Which of the following pairs of sets are equal? Justify your answer. ...

    Text Solution

    |

  4. Which of the following pairs of sets are equal? Justify your answer. ...

    Text Solution

    |

  5. Consider the sets phi, A={1,3}, B={1,5,9}, C={1,3,5,7,9}. Insert the s...

    Text Solution

    |

  6. Consider the sets phi, A={1,3}, B={1,5,9}, C={1,3,5,7,9}. Insert the s...

    Text Solution

    |

  7. Consider the sets phi, A={1,3}, B={1,5,9}, C={1,3,5,7,9}. Insert the s...

    Text Solution

    |

  8. Consider the sets phi, A={1,3}, B={1,5,9}, C={1,3,5,7,9}. Insert the s...

    Text Solution

    |

  9. Let A = { a, e, i, o, u} and B = { a, b, c, d}. Is A a subset of B ? N...

    Text Solution

    |

  10. Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ ...

    Text Solution

    |

  11. Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12}. Find A ∪ B.

    Text Solution

    |

  12. Let A = { a, e, i, o, u } and B = { a, i, u }. Show that A ∪ B = A

    Text Solution

    |

  13. Let X = {Ram, Geeta, Akbar} be the set of students of Class XI, who ar...

    Text Solution

    |

  14. Consider the sets A and B of Example 12. Find A ∩ B.

    Text Solution

    |

  15. Consider the sets X and Y of Example 14. Find X ∩ Y.

    Text Solution

    |

  16. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and B = { 2, 3, 5, 7 }. Find A...

    Text Solution

    |

  17. Let A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find A – B and B – A.

    Text Solution

    |

  18. Let V = { a, e, i, o, u } and B = { a, i, k, u}. Find V – B and B – V

    Text Solution

    |

  19. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9}. Find...

    Text Solution

    |

  20. Let U be universal set of all the students of Class XI of a coeducatio...

    Text Solution

    |