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 Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

Find the number of positive integers satisfying the inequality x^(2) -10x+16lt 0.

-2 sxs-1Q.19(a) Let f(x) = {x2+2x,-1ltxlt02x - x2, 0ltxlt1(2-8,1ltxlt2Find the number of integers in the range of f(x).definitiox2 - 2, 0ltxlt0x, 0ltxlt2(b) Let g(x) = (x-2)2,25xlt4X-4, 45xlt0If the equation g(x)=k has four real and distinct roots, then find the sum of all possible integral valuesof k.-&; 8lt0If f(x)=11 -21-xgt0, then find the number of solutions of the equation f(f(x))=1.(C)find the absolute valu

Let f(x)={[ x+3, if -4lexlt-2],[ 1, if -2lexlt2],[ 3-x, if 2lexle4]} and g(x)={[ x+6, if x lt 0],[ 2x+6, if x gt 0]} , then number of integers in the Range of fog(x) is,

The least positive integer x, which satisfies |x-2|>7?

If A={r in z^(+):x<10 and x s a multiple of 3 or 4}, where z is the set of positive integers,then the total number of symmetric relations on A is

A={x:x is an integer and - 3lexlt7 }

The least positive integer x , which satisfies |x-2| gt 7 ?

Let f(x) be defined as follows : f(x)={{:(2x+1",",-3ltxlt-2),(x-1",",-2lexlt0),(x+2",",0lexlt1):} Which one of the following statements is correct in respect of the above function?