Home
Class 12
MATHS
Determine if the set A ={-1,1,3}is a pro...

Determine if the set A ={-1,1,3}is a proper subset of the set B=`{x:x in R `and` x^3-2x^2-x+2=0}`

Text Solution

Verified by Experts

Solving `x^3-2x^2-c+2=0` we have `x^2(x-2)-1(x-2)=0`
or, `(x-2)(x^2-1)=0`
`:.`x=1,-1,2`
`:. B ={-1,1,2}`
`:.`A is not a subset of B.
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MBD PUBLICATION|Exercise QUESTION BANK |56 Videos

  • STATISTICS

    MBD PUBLICATION|Exercise QUESTION BANK|13 Videos

Similar Questions

Explore conceptually related problems

Determine if the set A={1,2,3…..}is a proper subset of the set B={x:x is a rational number}

Determine if the set A ={1,2,3,4} is a proper subset of the set B={ n in N , n is a divisor of 60}

Determine if the set A=x:x is a prime number } is a proper subset of the set B={2n-1:n=1,2,3…..}

Determine whether the solution set is finite or infinite or empty: x lt 1, x in Z (set of integers)

Check whether the relation R defined in the set A = {1,2,3,...,13,14 as R = {(x,y):3x - y =0} is reflexive, symmetric and transitive.

Write{x:x =1 or x=2 or x=3} set in the form of lists?

Without expanding show that the following determinant is equal to Ax+B where A and B are determinants of order 3 not involning x. [[x^2+x,x+1,x-2],[2x^2+3x-1,3x,3x-3],[x^2+3x+3,2x-1,2x-1]]

Let x_1,x_2…x_n be a set of observations with mean value 0 and variance sigma_x^2 and y_1,y_2,…,y_m be another set of observations with mean value 0 and variance… Find the mean value and variance of the set of observations x_1,x_2,,,,x_n, y_1,y_2,…y_m combined.

MBD PUBLICATION-SETS-QUESTION BANK
  1. Determine if the set A={1,2,3…..}is a proper subset of the set B={x:x ...

    Text Solution

    |

  2. Determine if the set A=x:x is a prime number }is a proper subset of ...

    Text Solution

    |

  3. Determine if the set A ={-1,1,3}is a proper subset of the set B={x:x i...

    Text Solution

    |

  4. Determine if the set A ={1,2,3,4}is a proper subset of the set B={n in...

    Text Solution

    |

  5. Determine if A sub B or A cancel sub B where A=phi, B ={phi}

    Text Solution

    |

  6. Determine if A sub B or A cancel sub B where A={x:x "is an integer "},...

    Text Solution

    |

  7. Determine if A sub B or A cancel sub B where A={x:x "is an odd integer...

    Text Solution

    |

  8. Determine if A sub B or A cancel sub B where A={x :x is an integer whi...

    Text Solution

    |

  9. Determine if A sub B or A cancel sub B where A=|a,b,c|,B ={|a|,|b|,|c|...

    Text Solution

    |

  10. Determine the truth of falsity of the{1,2} in {1,2,3} propositions wit...

    Text Solution

    |

  11. Determine the truth of falsity of theA sub A for any set A proposition...

    Text Solution

    |

  12. Determine the truth of falsity of the"Every set has a proper subset" p...

    Text Solution

    |

  13. Determine the truth of falsity of the Every set is a proper subset of ...

    Text Solution

    |

  14. Determine the truth of falsity of the For any object x, there is a set...

    Text Solution

    |

  15. Determine the truth of falsity of the For any object x, there is a set...

    Text Solution

    |

  16. Determine the truth of falsity of the If A,B,C are sets, then either A...

    Text Solution

    |

  17. Determine the truth of falsity of thea in {(a)} propositions with reas...

    Text Solution

    |

  18. Determine the truth of falsity of the a in{{a,b),b},a!= b propositions...

    Text Solution

    |

  19. Determine the truth of falsity of the If A is a proper subset of B and...

    Text Solution

    |

  20. Determine the truth of falsity of theA sub phi "if and only if "A = ph...

    Text Solution

    |