Home
Class 11
MATHS
Write the set 'A={ x: x in Z, x^2 < 20}'...

Write the set 'A={ x: x in Z, x^2 < 20}' in the roster form.

Text Solution

Verified by Experts

We observe that the.squares of integers, .0, pm 1, pm 2, pm 3 x_pm 4. are less than .20 .. Therefore, the set .A. in roster form is .A=-{4,-3,-2,-1,0,1,2,3,4}.
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    V PUBLICATION|Exercise QUESTIONBANK|140 Videos

  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

Write the set {x: x is a positive integer and 'x^(2) = 40'} in the roster form.

State which of the following sets are finite and which are infinite: i) A={x: x in Z and x^2-5 x+6=0'} ii) 'B={x: x in Z' and 'x^2' is even} iii) 'C={x: x in Z.' and 'x^2=36'} iv) 'D={x .: x in Z' and 'xgt-10}

Consider the set {x : x= 2^n ,n is a natural number, n le5 } Write this set in roster form.

Consider the set A={x:x is an integer 0lexlt4 }.Write A in Roster form.

Consider the sets A = {x:x is an integer and -3 le x lt 1 ) and B = {x:x is a letter in the word INDIA} Write A and B in Roster form

Consider the set A={x:x is an integer 0lexlt4 }.If B={5,6} ,then write AtimesB

Which of the following sets are empty sets? i) A={ x: x^2-3=0 . and x is rational } ii) B={x: x is an even prime number } iii) C={x: 4 lt x lt 5, x in N} iv) D={x: x^2=25 and 'x' is an odd integer.}

Write the set 'X={1, 1/4, 1/9, 1/16, 1/25, …}.' in the set builder form.

State which of the following sets are finite or infinite {x:x in N and x^2 -3x+2=0}

V PUBLICATION-SETS-QUESTION BANK
  1. Write the following sets in roster form and identify equal sets ( if a...

    Text Solution

    |

  2. State which of the following sets are finite and which are infinite: ...

    Text Solution

    |

  3. Write the set 'A={ x: x in Z, x^2 < 20}' in the roster form.

    Text Solution

    |

  4. Write the set 'X={1, 1/4, 1/9, 1/16, 1/25, …}.' in the set builder for...

    Text Solution

    |

  5. Match each of the set in A described in the roster form with the same ...

    Text Solution

    |

  6. A town has total population. 25000 out of which 13000 read ''The Hindu...

    Text Solution

    |

  7. In a class of 60 boys, there are 45 boys who play cards and 30 boys pl...

    Text Solution

    |

  8. Match each of the set in the roster form with the same set described...

    Text Solution

    |

  9. Describe the following sets by roster method: (i) {x: x^2+5 x+6=0, x...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the smallest set 'Y' such that 'Y ⋃ {1,2}={1,2,3,5,9'}

    Text Solution

    |

  12. If A={1,2,3,4}, B={1,4,5 ,6}, C={4,5,7,8,9} verify that (A uu B) uu C=...

    Text Solution

    |

  13. Show that if A sub B, then C- B sub C - A

    Text Solution

    |

  14. Show that A cap B = A cap C need not imply B = C

    Text Solution

    |

  15. If A={4,5,8,12}, B={1,4,6,9} and C={1,2,4,7,8,10}, then find (i) A...

    Text Solution

    |

  16. Let U={1,2,3,.. ., 10} be the universal set. If A={3,4,6,8}, find A^pr...

    Text Solution

    |

  17. Find A' for A={3,6,7,8}, where universal set 'U' is given by : (i) ...

    Text Solution

    |

  18. Let X={1,2,3,..., 12}, A={4,5,9,11} , B={1,2,4,5,8,9,10, 11,12} Verify...

    Text Solution

    |

  19. Show the following by Venn diagrams: (i) A uu B, A nn B, A-B, B-A, whe...

    Text Solution

    |

  20. Prove that A uuB=A nn B if A=B.

    Text Solution

    |