Home
Class 12
MATHS
If S=R,A={x:-3lexlt7} and B={x:0ltxlt10}...

If `S=R,A={x:-3lexlt7} and B={x:0ltxlt10}`, the number of positive integers in `ADeltaB` is

Text Solution

Verified by Experts

The correct Answer is:
3

Here, `A=[-3,7),B=(0,10)`
`S=(-oo,oo)`
`therefore A-B=[-3,0]andB-A=[7,10)`
`therefore ADeltaB=(A-B)uu(B-A)=[-3,0]uu[7,10)`
`therefore` Positive integers are 7, 8, 9.
Number of positive integers = 3
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|4 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|6 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos

Similar Questions

Explore conceptually related problems

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

If S is a set with 10 elements and A={(x,y): x,y in S,x ne y} , then the number of elements in A is :

Let y be an element of the set A={1,2,3,4,5,6,10,15,30} and x_(1) , x_(2) , x_(3) be integers such that x_(1)x_(2)x_(3)=y , then the number of positive integral solutions of x_(1)x_(2)x_(3)=y is

Let n denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0. Let b_n = the number of such n-digit integers ending with digit 1 and c_n = the number of such n-digit integers ending with digit 0. The value of b_6 , is

lim_(x->0) (sin(nx)((a-n)nx – tanx))/x^2= 0 , when n is a non-zero positive integer, then a is equal to

Consider (1 + x + x^(2))^(n) = sum_(r=0)^(n) a_(r) x^(r) , where a_(0), a_(1), a_(2),…, a_(2n) are real number and n is positive integer. If n is odd , the value of sum_(r-1)^(2) a_(2r -1) is

If sin(30^(@) + " arc " tan x) = 13/14 " and " 0 lt x lt 1" , the value of x is " (a sqrt3)/b , where a and b are positive integers with no common factors . Find the value of ((a+b)/2) .