For each of these pairs of sets, determine whether the first is a subset of the second, the second is a subset of the first, or neither is a subset of the other. a) the set of people who speak english, the set of people who speak english with an australian accent. b) the set of fruits, the set of citrus fruits. c) the set of students studying discrete mathematics, the set of students studying data structures.

a) 2nd is a subset of 1st

b) 2nd is a subset of 1st

c) Neither is a subset

Explanation:

a) The 1st set is of people speaking English and 2nd set is of people speaking English with Australian accent

A={People who speaks English}

B={People who speaks English with Australian accent}

As the set of people speaking English is greater than people speaking English with Australian accent so B⊂A that is B is contained in A.

So, 2nd is a subset of 1st.

b)The 1st set is of fruits and 2nd set is of citrus fruits

A={Fruits}

B={Citrus fruits}

As the set of fruits is greater than citrus fruit so B⊂A that is B is contained in A.

So, 2nd is a subset of 1st.

c) The 1st set is of student studying discrete Mathematics and 2nd set is of student studying data structures

A={student of discrete Mathematics}

B={student of data structures}

As both sets can be greater than the other so B⊄A or A⊄B that neither event is contained in the other.

So, neither is a subset of the other

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