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The relation on the set A={x|x|<3,x,in Z...

The relation on the set `A={x|x|<3,x,in Z}` is defined by `R={(x,y);y=|x|,x!=-1},` Then the numbers of elements in the power set of `R` is

A

32

B

16

C

8

D

64

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`A={x: |x|lt3,x in Z}={-2, -1, 0, 1, 2}`
and `R = {(x,y):y=|x|, x ne -1}`
`R={(-2,2),(0,0),(1,1),(2,2)}`
Clearly, R has four elements. So, the number of elements in power set of R is `2^(4)` = 16.
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