Home
Class 8
MATHS
State whether each of the following sets...

State whether each of the following sets is a finite set or an infinite set:
The set of whole numbers less than 12.

Text Solution

AI Generated Solution

The correct Answer is:
To determine whether the set of whole numbers less than 12 is a finite or infinite set, we can follow these steps: ### Step 1: Define the set We are looking at the set of whole numbers that are less than 12. Whole numbers are non-negative integers, which include 0, 1, 2, 3, and so on. ### Step 2: List the elements of the set The whole numbers less than 12 are: - 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - 10 - 11 ### Step 3: Count the elements Now, we count the elements in the set: - There are 12 elements in total: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}. ### Step 4: Determine if the set is finite or infinite Since we can count the elements in the set and there is a specific number of elements (12), we conclude that this set is a finite set. ### Final Answer The set of whole numbers less than 12 is a finite set. ---
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

State whether each of the following sets is a finite set or an infinite set: The set of integers less that 10.

State whether each of the following sets is a finite set or an infinite set: The set of multiples of 8

State whether each of the following sets is a finite set or an infinite set: {x : x=3n-2, n in W, n le 8}

which of the following sets in not finite ?

State whether each of the following sets is a finite set or an infinite set: {x : x =3n-2, n in Z, n le 8}

State which of the following sets are finite sets or infinite. In case of finite set,

Classify the following sets as empty set finite set or infinite set : the set of prime numbers less than one crore

State whether each of the following set is finite or infinite : (i) The set of lines which are parallel to the x-axis (ii) The set of letters in the English alphabet (iii) The set of number which are multiple of 5 (iv) The set of animals living on the earth (v) The set of circles passing through the origin (0,0).

The set of whole numbers is a finite set .

State whether each of the following set is finite or infinite:(i) The set of lines which are parallel to the x–axis(ii) The set of letters in the English alphabet(iii) The set of numbers which are multiple of 5(iv) The set of animals living on the earth(v) The set of circles passing through the origin (0, 0)

ICSE-SETS -EXERCISE 6(B)
  1. State, whether the following pairs of sets are equivalent or not: P=...

    Text Solution

    |

  2. State, whether the following pairs of sets are equal or not: A={2,4,...

    Text Solution

    |

  3. State, whether the following pairs of sets are equal or not: M={x:x i...

    Text Solution

    |

  4. State, whether the following pairs of sets are equal or not: E={x:x^(...

    Text Solution

    |

  5. State, whether the following pairs of sets are equal or not: A={x:x i...

    Text Solution

    |

  6. State whether each of the following sets is a finite set or an infinit...

    Text Solution

    |

  7. State whether each of the following sets is a finite set or an infinit...

    Text Solution

    |

  8. State whether each of the following sets is a finite set or an infinit...

    Text Solution

    |

  9. State whether each of the following sets is a finite set or an infinit...

    Text Solution

    |

  10. State whether each of the following sets is a finite set or an infinit...

    Text Solution

    |

  11. {x : x =(n-2)/(n+1), n in W}

    Text Solution

    |

  12. Answer, whether the following statements are true or false. Give reaso...

    Text Solution

    |

  13. If E = {factors of 16} and F = {factors of 20}, then E = F.

    Text Solution

    |

  14. The set A = {integers less than 20} is a finite set.

    Text Solution

    |

  15. If A = {x: x is an even prime number}, then set A is empty.

    Text Solution

    |

  16. The set of odd prime numbers is the empty set.

    Text Solution

    |

  17. The set of squares of integers and the set of whole numbers are equal ...

    Text Solution

    |

  18. If n(P) = n(M), then P → M.

    Text Solution

    |

  19. If set P = set M, then n(P) = n(M).

    Text Solution

    |

  20. n(A) = n(B) rArr A=B

    Text Solution

    |