Question

Which of the following sets are empty sets? Why?
(a)A = { x|x is a whole number greater than zero }
(b)B = { a|a - 9 = 0, a ∈ N }
(c) C = { x|10x – 1 = -11, x ∈ N }​

Answer 1

Step-by-step explanation:

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A and C would be empty sets.

1. set A has no solution qs natural number begin from 1. A= Ø

2. set B has solution 0 i.e B= {0}

3. for set C . x value would be 0.4, which is not a natural number so C= Ø

Answer 2

Equal sets:

The two given sets are called Equal Sets if their number of elements and the member of elements are exactly same.

A={x:x∈N,x<3}={1,2}

B={1,2}

C={3,1}

D={x:x∈N,x is odd,x<5)={1,3}

E={1,2,1,1}={1,2}

F={1,1,3}={1,3}

Hence equal sets are:

A=B=E,C=D=F

A=B=E,C=D=F

A={x:x∈N,x<3}