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Which of the following are examples of t...

Which of the following are examples of the null set?
(I) A=`{x: x in N and x^(2) lt 0}`
(ii) B=`{x: x in N and x-2=9}`
(iii) C=`{x:x in W and 3x-2=5}`

Text Solution

Verified by Experts

(i) `x^(2) lt 0` but it is not true for any real number as `x in N`.
So, `A= phi`
It is null set
(ii) x-2=9
`therefore x=11`
So, B={11}
(iii) Here 3x-2=5
`Rightarrow x=(7)/(3)`
But `(7)/(3) notin W`
So, `C=phi`
It is null set
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