Question

Indicate if each of the statements below “Follows” or “Does not follow” from the statement.

If A⊂B

and B⊆C

with n(C) = 5, then it

Follows / Does not follow       a. that A⊂C

Follows / Does not follow      b. that n(A) < 5

Follows / Does not follow       c. that n(B) < 5           

Follows / Does not follow       d. that n(A∪B

) = n(B)

Answer 1

If A is proper subset of B, this means there all elements which are there in A are present in B and there is at least 1 element in B which is not present in A.
Also, B is subset of C, this means all elements in B are present in C and there may be any element in C which is not in B.

a) Follows. A is proper subset of C, This is correct statement

b) Follows. n(A) < 5, this is correct statement. Because all elements in B are present in C and n(C) = 5

c) Does not follows. n(B) < 5 is not correct. Because n(B) can be equal to n(C)

d) Follows. n(A U B) = n(B) is correct. Because A is proper subset of B.