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

If A is the set of odd prime numbers and B={xZ:6<2x537 and 4x72<4}, then the value of n(AB) is

Open in App
Solution

A={3,5,7,11,13,17,19,...}

B={xZ:6<2x537 and 4x72<4}
6<2x537
18<2x521
13<2x26
132<x13 ...(1)

and 4x72<4
8x7<8
1x<15 ...(2)
From (1) and (2),
1x13
B={1,0,1,...,12,13}

AB={3,5,7,11,13}
n(AB)=5

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Cardinality of Sets
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon