Home
Class 11
MATHS
If A = {x: x in Z and x ge 2}, B= {x: x ...

If A =` {x: x in Z and x ge 2}`, B= `{x: x in Z and x le 4}`, then `A cap B` is equal to:

A

`{x:2 le x le 4, x in Z}`

B

`{x: 2 lt x le4, x in Z}`

C

`{x:2ltxlt 4, x in Z}`

D

none of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SETS

    JBD PUBLICATION|Exercise EXAMPLE|58 Videos

  • SEQUENCES AND SERIES

    JBD PUBLICATION|Exercise EXAMPLE|54 Videos

  • STATISTICS

    JBD PUBLICATION|Exercise EXAMPLE|11 Videos

Similar Questions

Explore conceptually related problems

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b): a = b} are equivalence relations.

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b) : |a - b| is a multiple of 4} is an equivalence relation.

If R= {(x,y):x, y in Z, x^2+y^2le9} is a realation on Z, then domain of R is:

If x, 1, z are in AP and x, 2, z are in GP, then x, 4, z will be in (a) AP (b) GP (c) HP (d) None Of These

Are the following sets equal ? Give reasons: A = {n :n in Z and n^2le4 }, B= {x:x in R and x^2-3x+2=0 }

Find the (a) union (b) intersection of the following pair of sets : A = {x : x in Z^(+)} , B= { x : x in Z and x<0}.

Maximize z = 5x + 7y such that 2x + y ge 8, x + 2y ge 10 x, y ge 0 .

Solve the following linear programming problem graphically. Minimize the objective function Z = 2x + 3y subject to constraints x + y le 80, x + y ge 40, x le 40, y ge 60, x ge 0, y ge 0

JBD PUBLICATION-SETS-EXAMPLE
  1. If A = {x: x in Z and x ge 2}, B= {x: x in Z and x le 4}, then A cap B...

    Text Solution

    |

  2. Write the following as intervals : {x : x in R,-4 < x le 6}

    Text Solution

    |

  3. Write the following as intervals : {x : x in R,-12 < x < -10}

    Text Solution

    |

  4. Write the following as intervals: {x:x in R, 0 le x le 7}

    Text Solution

    |

  5. Write the following as intervals: {x:x in R, 1 le x le 4}

    Text Solution

    |

  6. Mark the following subsets of set R of real numbers on the number line...

    Text Solution

    |

  7. Mark the following subsets of set R of real numbers on the number line...

    Text Solution

    |

  8. Mark the following subsets of set R of real numbers on the number line...

    Text Solution

    |

  9. Mark the following subsets of set R of real numbers on the number line...

    Text Solution

    |

  10. Write the following interval in set-builder form : (-3,0)

    Text Solution

    |

  11. Write the following interval in set-builder form : [6,12]

    Text Solution

    |

  12. Write the following interval in set-builder form : [6,12]

    Text Solution

    |

  13. Write the following intervals in the set builder form and mark them on...

    Text Solution

    |

  14. Which of the following pairs of sets are disjoint? A=[a,e,I,o,u], B=[c...

    Text Solution

    |

  15. Which of the following pairs of sets are disjoint:- {1, 2. 3, 4} and {...

    Text Solution

    |

  16. Prove that the following pairs of sets are disjoint A={x:x is an even ...

    Text Solution

    |

  17. Let A = { a, b }, B = {a, b, c}. Is A sub B ? What is A uu B?

    Text Solution

    |

  18. A and B are two sets such that AsubB, then what is AcupB.

    Text Solution

    |

  19. Is it true that for any sets A and B, P(A) uu P(B) = P(A uu B)? Justif...

    Text Solution

    |

  20. Using properties of sets, show that A uu ( A nn B)=A

    Text Solution

    |

  21. Using properties of sets, show that A nn (A uu B)=A

    Text Solution

    |