Question

10. Given the figure at the right, which of the
statements is correct?
A. AUB = {15, 20)
B. AUB = {5, 10, 15, 20, 25, 30;
C. A B = {5, 10, 15, 15, 20, 20, 25, 30)
D. AN B = {15, 20}​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTIONS

Given the figure at the right, which of the statements is correct

A. A ∪ B = {15, 20}

B. A ∪ B = {5, 10, 15, 20, 25, 30}

C. A ∪ B = {5, 10, 15, 15, 20, 20, 25, 30}

D. A ∩ B = {15, 20}

EVALUATION

We see from the figure that

A = { 5 , 10 , 15 , 20 }

B = { 15 , 20 , 25 , 30 }

Thus

A ∪ B

= { x : x ∈ A ∨ x ∈ B }

= { 5 , 10 , 15 , 20 , 25 , 30 }

A ∩ B

= { x : x ∈ A ∧ x ∈ B }

= { 15 , 20 }

So option A is wrong

Option B is right

Since we never repeat the same element while writing a set . So option C is wrong

Option D is correct

FINAL ANSWER

Hence the correct options are

B. A ∪ B = {5, 10, 15, 20, 25, 30}

D. A ∩ B = {15, 20}

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