Home
Class 12
MATHS
If sets A = (-3, 2] and B = (-1, 5], the...

If sets A = (-3, 2] and B = (-1, 5], then find the following sets
(i) `A cap B` (ii) `A cup B` (iii) `A - B` (iv) `B-A`

Text Solution

AI Generated Solution

To solve the problem, we need to find the following sets given the sets A and B: - Set A = (-3, 2] - Set B = (-1, 5] We will find: (i) A ∩ B (intersection of A and B) (ii) A ∪ B (union of A and B) ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.1|15 Videos

  • RELATIONS AND FUNCTIONS

    CENGAGE|Exercise Exercise 1.2|5 Videos

  • Quadratic Equations, Inequalities, Modulus and Logarithms

    CENGAGE|Exercise Question Bank|31 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If sets A =[-4,1] and B=[0,3), then find the following sets: (a) A cap B " (b) "A cup B " (c ) "A-B (d) B-A " (e ) "(A cup B)' " (f) " (A cap B)'

If A={1,2,3,4},B={3,4,5},C={1,5,6} , then findof the following : (i) A cup B (ii) A cup (B cap C) (ii) A - B (iv) A - (B cup C) .

Consider the following sets: A= set ofnaturai numbers which are multiples of 2 B= set ofnaturai numbers which are multiples of 3 C= set ofnaturai numbers which are multiples of 5 Then find the following set (i) A cup B (ii) B cup C (iii) A- B (iv) B-C (v)A cap C (vi) A cap B cap C (vii) ( A cup B )- C

If U={11,12,13,14,....,20},A={11,12,13,14} and B={14,16,18,20} , then find each of the following : (i) A, cap B' (ii) A' cup B' (iii) (A cup B)' (iv) (A cap B)' (v) A ' - B' (vi) B - A' .

If A= [-4 , 1 ) and B =[ 0,3), then find the following (A) A cap B (b ) A cup B , ( c) A-B (d) B-A (e ) (A cup B) ( f) ( A cap B)

If A = {1,2,3,4},B={2,4,6,8} and C={3,4,5,6} , then find each of the following , (i) (A - B) cap C (ii) (A cap B) -C (iii) A- (B-C) (iv) A cup (B - C) .

Draw the Venn diagram for each of the following : (i) (A cap B)' (ii) (A cup B)' (iii) A' cup B' (iv) A' cap B' .

If A and B are two sets such that n(A) = 15, n(A cup B) = 40 and n (A cap B) = 5 , then find each of the following : (i) n (B) (ii) n (A- B) (iii) n (B-A)

If A and B are two sets such that A (sub)B then find : (i) A cup B (ii) A cap B (iii) A-B

If A{1,2,3},B={3,4}and C={4,5,6} , then find the each of the following : (i) A cap(B cupC) (ii) (A-B)cupC (iii) (A cupB)-C (iv) (A cap B)cup C .

CENGAGE-RELATIONS AND FUNCTIONS-Solved Examples And Exercises
  1. If sets A = (-3, 2] and B = (-1, 5], then find the following sets (i...

    Text Solution

    |

  2. Find the inverse of the function: f:(-oo,1] rarr [1/2,oo],w h e r ef(...

    Text Solution

    |

  3. Find the value of x for which function are identical. f(x)=xa n dg(x)=...

    Text Solution

    |

  4. Find the value of x for which function are identical. f(x)=cosxa n dg(...

    Text Solution

    |

  5. Find the value of x for which function are identical. f(x)=(sqrt(9-x^2...

    Text Solution

    |

  6. Find the inverse of the function: f: R rarr (-oo,1)gi v e nb yf(x)=1-...

    Text Solution

    |

  7. f:(2,3)vec(0,1)d efin e db yf(x)=x-[x],w h e r e[dot] represents the g...

    Text Solution

    |

  8. Find the inverse of the function: f(x)={x^3-1, ,x<2x^2+3,xgeq2

    Text Solution

    |

  9. Find the inverse of the function: f:[-1,1]rarr[-1,1]defined byf(x)=x|...

    Text Solution

    |

  10. If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^2 and f(0)=1AAx ,y in R ,d e t e ...

    Text Solution

    |

  11. Let f(x)=(9^x)/(9^x+3) . Show f(x)+f(1-x)=1 and, hence, evaluate. f(1/...

    Text Solution

    |

  12. If f(x+2a)=f(x-2a),t h e np rov et h a tf(x)i sp e r iod i cdot

    Text Solution

    |

  13. Let g(x) be a function such that g(a+b)=g(a)dotg(b)AAa , b in Rdot If...

    Text Solution

    |

  14. Find the value of x for which function are identical. f(x)=tan^(-1)x+t...

    Text Solution

    |

  15. The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in ...

    Text Solution

    |

  16. Plot y=|x|,y=|x-2|, and y=|x+2|

    Text Solution

    |

  17. If f(x+1/2)+f(x-1/2)=f(x)fora l lx in R , then the period of f(x) is ...

    Text Solution

    |

  18. If for all real values of ua n dv ,2f(u)cosv=(u+v)+f(u-v), prove that ...

    Text Solution

    |

  19. If the period of (cos(sin(n x)))/(tan(x/n)),n in N ,i s6pi , then n= ...

    Text Solution

    |

  20. If f: X rarr[1,oo) is a function defined as f(x)=1+3x^3, find the su...

    Text Solution

    |

  21. Find the period (if periodic) of the following function ([.] denotes ...

    Text Solution

    |