Question

(No.8-10) If X = {letters in the word BANANAS} Y = {Letters in the word BAHAY} and Z = {letters in the word BASA}; Find: 8) X - Y 9) Y - X 10) X - Z

Answer 1

Answer:

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Answer 2

SOLUTION

GIVEN

X = {letters in the word BANANAS}

Y = {Letters in the word BAHAY}

Z = {letters in the word BASA}

TO DETERMINE

1) X - Y

2) Y - X

3) X - Z

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

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

Here the given sets are

X = {letters in the word BANANAS}

Y = {Letters in the word BAHAY}

Z = {letters in the word BASA}

Then

X = { B , A , N , S }

Y = { B , A , H , Y }

Z = { B , A , S }

Thus we get

1) X - Y

= { x ∈ X : x ∉ Y }

= { N , S }

2) Y - X

= { x ∈ Y : x ∉ X }

= { H , Y }

3) X - Z

= { x ∈ X : x ∉ Z }

= { N }

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