Assignment 1

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course Mth 151

If your solution to stated problem does not match the given solution, you should self-critique per instructions athttp://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm

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Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

001. Sets

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Question: `q001. Note that there are 5 questions in this assignment.

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Question: `q001. Let A stand for the collection of all whole numbers which have at least one even digit (e.g., 237, 864, 6, 3972 are in the collection, while 397, 135, 1, 9937 are not). Let A ' stand for the collection of all whole numbers which are not in the collection A. Let B stand for the collection { 3, 8, 35, 89, 104, 357, 4321 }.

• What numbers do B and A have in common?

• What numbers do B and A' have in common?

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Your solution:

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Question: `q002. I have in a room 8 people with dark hair brown, 2 people with bright red hair, and 9 people with light brown or blonde hair. Nobody has more than one hair color. Is it possible that there are exactly 17 people in the room?

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Your solution:

No, nobody has more than one hair color

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Question: `q003. I have in a room 6 people with dark hair and 10 people with blue eyes. There are only 14 people in the room. But 10 + 6 = 16, which is more than 14. How can this be?

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Your solution:

There can be people with both brown hair and blue eyes.

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Question: `q004. In a set of 100 child's blocks 60 blocks are cubical and 40 blocks are cylindrical. 30 of the blocks are red and 20 of the red blocks are cubical. How many of the cylindrical blocks are red?

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Your solution:

30-20

=10

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Question: `q005. If there are 30 blue marbles and 35 small marbles in a box containing 50 marbles. What is the smallest possible number of small blue marbles? Is it possible that the number of small blue marbles is greater than this?

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Your solution:

30

No, there are only 30 blue marble, leaving a possible 5 marbles left.

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