Home
Class 11
MATHS
If R is the set of real numbers and Q is...

If R is the set of real numbers and Q is the set of rational numbers, then what is `R – Q`?

Text Solution

Verified by Experts

The correct Answer is:
`R - Q` = The set of irrational numbers.
Promotional Banner

Topper's Solved these Questions

  • SETS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.5|32 Videos
  • SETS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.6|8 Videos
  • SETS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.3|43 Videos
  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos
  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

Similar Questions

Explore conceptually related problems

If R = set of real number and Q = set of rational number then R - Q = …….

Fill in the blanks by selecting appropriate alternative for the following questions : If Q is the set of rational numbers and Z is the set of integers then Q cap Z="…………."

Q cup Z = Q , where Q is the set of rational numbers and Z is the set of integers.

If R is the set of all real numbers, what do the cartesian products R xx R and R xx R xx R represent?

Show that the function f : R rarr R , defined by f(x) =1/x is one - one and onto , where R is the set of all non - zero real number . is the result true, if the domain R is replaced by N with co-domain being same as R ?

Let N be the set of natural numbers and the relation R be defined on N such that R={(x,y) : y=2x, y in N} ,

Tick the set which is infinite (A) The set of whole numbers lt 10 (B) The set of prime numbers lt 10 (C) The set of integers lt 10 (D) The set of factors of 10

P is the set of factors of 5, Q is the set of factors of 25 and R is the set of factors of 125. Which of the following is false? (A) P subset Q (B) Q subset R (C) R subset P (D) P subset R

Let C and R denote the set of all complex numbers and all real numbers respectively. Then show that f: C->R given by f(z)=|z| for all z in C is neither one-one nor onto.

Let N denote the set of all natural numbers and R be the relation on NxN defined by (a , b)R(c , d) a d(b+c)=b c(a+d)dot Check whether R is an equivalence relation on NxNdot

KUMAR PRAKASHAN-SETS-EXERCISE 1.4
  1. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  2. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  3. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  4. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  5. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  6. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  7. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  8. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  9. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  10. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  11. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  12. If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2,...

    Text Solution

    |

  13. If X= { a, b, c, d } and Y = { f, b, d, g}, find X – Y

    Text Solution

    |

  14. If X= { a, b, c, d } and Y = { f, b, d, g}, find Y – X

    Text Solution

    |

  15. If X= { a, b, c, d } and Y = { f, b, d, g}, find X ∩ Y

    Text Solution

    |

  16. If R is the set of real numbers and Q is the set of rational numbers, ...

    Text Solution

    |

  17. State whether each of the following statement is true or false. Justif...

    Text Solution

    |

  18. State whether each of the following statement is true or false. Justif...

    Text Solution

    |

  19. State whether each of the following statement is true or false. Justif...

    Text Solution

    |

  20. State whether each of the following statement is true or false. Justif...

    Text Solution

    |