Home
Class 11
MATHS
State whether the following statements a...

State whether the following statements are true or false:
`1 in {1,2,3}`
`asub{b , c , a}`
`{a} in {a , b , c}`
`{a , b}={a , a , b , b , a}`
The set `{x : x+8=8}`
is the null set.

Text Solution

AI Generated Solution

Let's analyze each statement one by one to determine whether they are true or false. ### Statement 1: `1 in {1, 2, 3}` - **Analysis**: The statement is asking if the element `1` is a member of the set `{1, 2, 3}`. Since `1` is indeed one of the elements in the set, this statement is true. - **Conclusion**: **True** ### Statement 2: `A in {b, c, a}` - **Analysis**: Here, we need to check if the element `A` is a member of the set `{b, c, a}`. The set contains the elements `b`, `c`, and `a`, but not `A` (note the difference in case). Therefore, this statement is false. ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos
  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

State whether the statements are true or false a-:a=b-:a

State whether the statements are true or false a-b=b-a

Examine whether the following statements are true or false : {a,b}sub{b,c,a}

State whether the statements are true or false a-:(-b)=-(a-:b)

Write of the following statements are true and which false? {a , b}sub{b , c , a}

State whether the following are true or false (c) the length of latus rectum of parabola 3y^2=8x is 8

RD SHARMA-SETS-Solved Examples And Exercises
  1. Which of the following statements are true? Give reason to support you...

    Text Solution

    |

  2. Which of the following statements are true? Give reason to support you...

    Text Solution

    |

  3. State whether the following statements are true or false: 1 in {1,2,...

    Text Solution

    |

  4. Decide among the following sets, which are subsets of which: A={x : x ...

    Text Solution

    |

  5. Write which of the following statements are true? Justify your answer:...

    Text Solution

    |

  6. Write which of the following statements are true? Justify your answer:...

    Text Solution

    |

  7. Write which of the following statements are true? Justify your answer:...

    Text Solution

    |

  8. Write which of the following statements are true? Justify your answer:...

    Text Solution

    |

  9. Write which of the following statements are true? Justify your answer:...

    Text Solution

    |

  10. Write which of the following statements are true? Justify your answer:...

    Text Solution

    |

  11. Which of the following statements are correct? Write a correct form of...

    Text Solution

    |

  12. Which of the following statements are correct? Write a correct form of...

    Text Solution

    |

  13. Which of the following statements are correct? Write a correct form of...

    Text Solution

    |

  14. Let A={a , b ,{c , d},\ e} . Which of the following statements are fal...

    Text Solution

    |

  15. Let A={a , b ,{c , d},\ e} . Which of the following statements are fal...

    Text Solution

    |

  16. Let A={a , b ,{c , d},\ e} . Which of the following statements are fal...

    Text Solution

    |

  17. Let A={{1,2,3},\ {4,5},\ {6,7,8}}dot Determine which of the following ...

    Text Solution

    |

  18. Let A={{1,2,3},\ {4,5},\ {6,7,8}}dot Determine which of the following ...

    Text Solution

    |

  19. Let A={phi,{phi},1,{1,phi},2}dot Which of the following are true? phi...

    Text Solution

    |

  20. Let A={phi{phi},1,{1,phi},2}dot Which of the following are true? {{2},...

    Text Solution

    |