Home
Class 12
MATHS
Let Z be the set of integers. If A={xeps...

Let `Z` be the set of integers. If `A={xepsilonZ:2^((x+2)(x^(2)-5x+6))=1]` and `B={xepsilonz:-3lt2x-1lt9}` then the number of subsets of the set `AxxB` is

A

`2^(18)`

B

`2^(12)`

C

`2^(15)`

D

`2^(10)`

Text Solution

Verified by Experts

The correct Answer is:
D
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise HLP_TYPE|42 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE ADVANCED|14 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Let Z be the set of integers. If A= { x in Z : 2^((x+2)(x^(2)-5x+6)) =1} and B={x in Z: -3 lt 2x -1 lt 9}, then the number of subsets of the set A xx B , is

Let Z be the set of integers. If A = {x in Z : 2^((x + 2)(x^(2) - 5x + 6)} = 1 and B = {x in Z : -3 lt 2x - 1 lt 9} , then the number of subsets of the set A xx B is

Let Z is be the set of integers , if A={"x"inZ:|x-3|^((x^2-5x+6))=1} and B{x in Z : 10 lt3x+1lt 22} , then the number of subsets of the set AxxB is

If A={x : -3 lt x lt 3, x in Z} then find the number of subsets of A .

Let Z denoted the set of integers, then {x inZ:|x-3|lt4}nn{x inZ:|x-4|lt5}=

Let Z denote the set of integers, then (x in Z,|x-3|lt4cap{x inZ:|x-4|lt5} =

Let 'S' be the set of positive integer values of a for which (ax^2+2(a+1)x+9a+4)/(x^2+8x+32) lt0forall"X"inR then the number of elements is 'S' is

If A={x in R : |x-2| gt 1} , B={x in R : sqrt(x^(2)-3) gt 1 } , C={x in R : |x-4| ge 2} and Z is the set of all integers, then the number of subsets of the set (AnnBnnC)^(c )nnZ is ___________.