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MATHEMATICS

JAMB 2021 - Question 9

Mathematics 2021 JAMB Past Questions - Question 9: If P = {1,2,3,4,5} and P ∪ Q = {1,2,3,4,5,6,7}, list the elements in Q

If P = {1,2,3,4,5} and P ∪ Q = {1,2,3,4,5,6,7}, list the elements in Q

A: {5, 7}

B: {6}

C: {7}

D: {6, 7}

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Correct Answer

Explanation

To find the elements in set Q, we can use the information given that P ∪ Q = {1, 2, 3, 4, 5, 6, 7}.Since P = {1, 2, 3, 4, 5}, we can subtract the elements of P from the union of P and Q to find the elements in Q.Q = (P ∪ Q) - PQ = {1, 2, 3, 4, 5, 6, 7} - {1, 2, 3, 4, 5}Q = {6, 7}Therefore, the elements in set Q are 6 and 7.