Question

5. Given P = (apple, orange, banana, mango) and
Q = (orange, mango, watermelon what is PU?
APUQ
B.PUQ apple orange, banana)
C.PUQ = { apple, orange, banana, mango)
D.PUQ = { apple, orange, banana, mango, watermelon
2​

Answer 1

Answer:

the correct answer:-d)

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Given P = { apple, orange, banana, mango } and Q = { orange, mango, watermelon } then

A. P ∪ Q = Φ

B. P ∪ Q = { apple orange, banana}

C. P ∪ Q = { apple, orange, banana, mango}

D. P ∪ Q = { apple, orange, banana, mango, watermelon }

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

Union of Set

For given two sets P and Q

P ∪ Q

= { x : x ∈ P ∨ x ∈ Q }

EVALUATION

Here it is given that

P = { apple, orange, banana, mango }

Q = { orange, mango, watermelon }

Now P ∪ Q

= { x : x ∈ P ∨ x ∈ Q }

= { apple, orange, banana, mango, watermelon }

FINAL ANSWER

Hence the correct option is

D. P ∪ Q = { apple, orange, banana, mango, watermelon }

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