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If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x : 0 \...


Question

If x = {0, 2, 4, 6}, y = {1, 2, 3, 4} and z = {1, 3} are subsets of u = {x : 0 \(\geq\) x \(\geq\) 6}, find x \(\cap\) (Y' \(\cup\) Z)

Options

A)
{0, 2, 6}
B)
{1, 3}
C)
{0, 6)
D)
{9}

The correct answer is C.

Explanation:

x = {0, 2, 4, 6}; y = {1, 2, 3, 4}; z = {1, 3}
u = {0, 1, 2, 3, 4, 5, 6}
y' = {0, 5, 6}
To find x \(\cap\) (Y' \(\cup\) Z)
first find y' \(\cup\) z = {0, 1, 3, 5, 6}
then x \(\cap\) (Y' \(\cup\) Z) = {0, 6}


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Dicussion (1)

  • x = {0, 2, 4, 6}; y = {1, 2, 3, 4}; z = {1, 3}
    u = {0, 1, 2, 3, 4, 5, 6}
    y' = {0, 5, 6}
    To find x \(\cap\) (Y' \(\cup\) Z)
    first find y' \(\cup\) z = {0, 1, 3, 5, 6}
    then x \(\cap\) (Y' \(\cup\) Z) = {0, 6}

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