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if m is the set of all square numbers less than 80 and n is the set of all non-negative even numbers that are under 30. find m∩n and m∪n

User Fishy
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Answer:

m∪n = {0, 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 25, 26, 28, 36, 49, 64}.

Explanation:

To find the intersection (m∩n) of the set of square numbers less than 80 and the set of non-negative even numbers under 30, we need to find the numbers that are in both sets.

The set of square numbers less than 80 is: {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set of non-negative even numbers under 30 is: {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

The numbers that are in both sets are: {0, 4, 16}

Therefore, m∩n = {0, 4, 16}.

To find the union (m∪n) of the set of square numbers less than 80 and the set of non-negative even numbers under 30, we need to find all the unique numbers that are in either set.

The set of square numbers less than 80 is: {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set of non-negative even numbers under 30 is: {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Combining both sets and removing duplicates, we get:

{0, 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 25, 26, 28, 36, 49, 64}

Therefore, m∪n = {0, 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 25, 26, 28, 36, 49, 64}.

User Bahadur Singh Deol
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