Question

Write all the Let A = {l, m, n, o} ; B = {x ; x is a whole number, 4 < x < 9}. Check whether sets A and B are equivalent sets or not

Answer 1

Solution:

A={2,4,8,12}

n(A)=4

B={1,2,3,4}

 n(B)=4

C={4,8,12,14}

n(C)=4

D={3,1,4,2}

n(D)=4

E={−1,1}

n(E)=2

F={0,a}

n(F)=2

G={1,−1}

n(G)=2

H={0,1}

n(H)=2

Number of elements in A,B,C,D are same i.e. all have 4 elements. So ,they are comparable. 

Now, we see B and D has same elements.

So, B and D are equal sets.

Similarly, E,F,G, H are comparable as they all have same number of elements i.e. 2.

Clearly , E and G has same elements.

So, E and G are equal sets.