wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let Z be the set of integers. If
A={xZ:2(x+2)(x25x+6)=1} and B={xZ:3<2x1<9}, then the number of subsets of the set A×B, is :

A
210
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
212
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
215
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
218
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 215
2(x+2)(x25x+6)=1=20
x=2,2 or 3
A={2,2,3}

and B={xZ:3<2x1<9}
3<2x1<9
1<x<5
B={0,1,2,3,4}

As n(A×B)=n(A)×n(B)=3×5=15
Number of subsets of A×B is 215

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dynamic Nature of Physical and Chemical Equilibrium
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon