Question

which of the given sets is a subset of p (a,c ,d ,f ,g)

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Answer 1

SOLUTION

CORRECT QUESTION

Which of the given sets is a subset of P = {a, c, d, f, g}

1. {a, c, b}

2. { }

3. {d, f, e}

4. {e, f, g}

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects of our perception or of our thought, to be conceived as a whole

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set

SUBSET

A set T is said to be a subset of S if every element of T is an element of S

EVALUATION

Here the given set is P = {a, c, d, f, g}

CHECKING FOR OPTION (1)

Here b is an element of the set {a, c, b} but not an element of P

So {a, c, b} is not a subset of P

CHECKING FOR OPTION (2)

Here {} is the empty set, containing no element

So { } is a subset of P

CHECKING FOR OPTION (3)

Here e is an element of the set {d, f, e} but not an element of P

So {d, f, e} is not a subset of P

CHECKING FOR OPTION (4)

Here e is an element of the set {e, f, g} but not an element of P

So {e, f, g} is not a subset of P

FINAL ANSWER

Hence the correct option is 2. { }

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