Exam 15: Algebraic Concepts 3

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Which property of the real numbers is illustrated in this equality? Which property of the real numbers is illustrated in this equality?

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Name the type of interval expressed in the inequality. Name the type of interval expressed in the inequality.

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Find , the intersection of sets A and B. Find , the intersection of sets A and B.   and    and Find , the intersection of sets A and B.   and    Find , the intersection of sets A and B.   and

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Assume that Assume that   and that U is the universal set of natural numbers less than 11. Find .  and that U is the universal set of natural numbers less than 11. Find . Assume that   and that U is the universal set of natural numbers less than 11. Find .

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Use notation to indicate all containment relations between the following two sets. Use notation to indicate all containment relations between the following two sets.    Use notation to indicate all containment relations between the following two sets.

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Choose the proper symbol to replace . Choose the proper symbol to replace .     0.1111    Choose the proper symbol to replace .     0.1111    0.1111 Choose the proper symbol to replace .     0.1111    Choose the proper symbol to replace .     0.1111

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Choose the proper symbol to replace . Choose the proper symbol to replace .          Choose the proper symbol to replace .          Choose the proper symbol to replace .          Choose the proper symbol to replace .          Choose the proper symbol to replace .

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Evaluate the following expression. Evaluate the following expression.

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Assume that Assume that   and that U is the universal set of natural numbers less than 11. Find .  and that U is the universal set of natural numbers less than 11. Find . Assume that   and that U is the universal set of natural numbers less than 11. Find .

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Use notation to indicate which of the sets E and F is a subset of the other. Use notation to indicate which of the sets E and F is a subset of the other.    Use notation to indicate which of the sets E and F is a subset of the other.

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Indicate whether the following sets are equal. Indicate whether the following sets are equal.

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Find , the union of sets A and B. Find , the union of sets A and B.    Find , the union of sets A and B.

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Assume that Assume that   and that U is the universal set of natural numbers less than 11. Find .  and that U is the universal set of natural numbers less than 11. Find . Assume that   and that U is the universal set of natural numbers less than 11. Find .

(Multiple Choice)
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In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT   liked AL only   liked AL   liked PT   liked DH   liked PT and AL but not DH   liked PT and DH   How many liked PT or DH? liked AL only In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT   liked AL only   liked AL   liked PT   liked DH   liked PT and AL but not DH   liked PT and DH   How many liked PT or DH? liked AL In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT   liked AL only   liked AL   liked PT   liked DH   liked PT and AL but not DH   liked PT and DH   How many liked PT or DH? liked PT In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT   liked AL only   liked AL   liked PT   liked DH   liked PT and AL but not DH   liked PT and DH   How many liked PT or DH? liked DH In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT   liked AL only   liked AL   liked PT   liked DH   liked PT and AL but not DH   liked PT and DH   How many liked PT or DH? liked PT and AL but not DH In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT   liked AL only   liked AL   liked PT   liked DH   liked PT and AL but not DH   liked PT and DH   How many liked PT or DH? liked PT and DH In a survey of the dining preferences of 110 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. liked AL but not PT   liked AL only   liked AL   liked PT   liked DH   liked PT and AL but not DH   liked PT and DH   How many liked PT or DH? How many liked PT or DH?

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Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. -1.2290

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Which property of the real numbers is illustrated in this equality? Which property of the real numbers is illustrated in this equality?

(Multiple Choice)
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Assume that Assume that   and that U is the universal set of natural numbers less than 11. Find .  and that U is the universal set of natural numbers less than 11. Find . Assume that   and that U is the universal set of natural numbers less than 11. Find .

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Choose the correct interval notation for this subset of the real numbers. Choose the correct interval notation for this subset of the real numbers.

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Find , the intersection of sets A and B. Find , the intersection of sets A and B.    Find , the intersection of sets A and B.

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Express the inequality using interval notation. Express the inequality using interval notation.

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