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

A. {2, 3, 4, 6}

B. {1, 2, 3, 4, 6}

C. {2, 3, 4, 6, 8}

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

**Comments**

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X are values less than 7, thus, X = {..., -1, 0, 1, 2, 3, 4, 5, 6}

Y = factors of 24 = {1, 2, 3, 4, 6, 8, 12, 24}

But since the X and Y are subsets of U, and U = real numbers from 1 to 10, X and Y must have values between 1 and 10 only.

Thus, X = {1, 2, 3, 4, 5, 6}

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

Hence, X n Y = {1, 2, 3, 4, 6}

**Ans B**

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