WAEC SSCE - General Mathematics - 2020 (Objective)

Question 1 Report

If X = {x : x < 7} and Y = {y:y is a factor of 24} are subsets of $\mu$ = {1, 2, 3...10} find X $\cap$ Y.

{2, 3, 4, 6}

{1, 2, 3, 4, 6} Correct answer

{2, 3, 4, 6, 8}

{1, 2, 3, 4, 6, 8}

Answer Details

To find X $\cap$ Y, we need to determine the common elements that are present in both sets X and Y. Set X is defined as the set of all numbers x, such that x is less than 7. Therefore, X = {1, 2, 3, 4, 5, 6}. Set Y is defined as the set of all factors of 24. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. Therefore, Y = {1, 2, 3, 4, 6, 8, 12, 24}. The intersection of sets X and Y, denoted as X $\cap$ Y, is the set of all elements that are present in both sets X and Y. Therefore, X $\cap$ Y = {x : x is an element of X and x is an element of Y} From the sets X and Y, we see that the common elements are 1, 2, 3, 4, 6. Therefore, X $\cap$ Y = {1, 2, 3, 4, 6} Thus, the correct answer is {1, 2, 3, 4, 6}.

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