# Worksheet: Complements of a Set

In this worksheet, we will practice finding the complement of a set and using it to perform operations on sets.

**Q3: **

If is a subset of a universal set , what is ?

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**Q4: **

Given , , and a universal set , find .

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**Q5: **

What is ?

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**Q6: **

What is ?

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**Q7: **

Given , , and a universal set , find .

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**Q8: **

Given , , and a universal set , find .

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**Q9: **

Given , , and a universal set , find .

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**Q10: **

Given , , and a universal set , find .

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**Q11: **

If the universal set is , , and , what is ?

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**Q12: **

If the universal set , , and , what is ?

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**Q13: **

Take the universal set to be the set of numbers between, but not including, 1 and 12. Given that and , what is ?

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**Q14: **

Given and belong to a universal set which is the set of odd numbers less than 17, what is ?

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**Q15: **

Take the universal set to be the set of even numbers less than 15. Given that and , find .

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**Q16: **

Take the universal set to be the set of integers between, but not including, 1 and 11. Given that and , what is ?

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**Q18: **

Take the universal set to be the set of numbers between, but not including, 1 and 12. Given that and , what is ?

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**Q19: **

Given that ,, and , find .

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**Q20: **

Given , , and a universal set , find .

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**Q21: **

Take the universal set to be the set of numbers between, but not including, 1 and 10. If and , what is ?

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**Q22: **

Given that , , and , find .

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**Q23: **

If the universal set , , and , what is ?

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**Q24: **

Take the universal set to be the set of factors of the number 40. Given that is the set of factors of the number 2, find .

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**Q25: **

Use , , , or to fill in the gap: If , then .

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