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course MTH 151
'title: Solution to Chapter 2.1
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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:
a) {8,89,104,4521}
b) (3,35,357}
confidence rating #$&*:ry confident based on materials presented in Chap 2.1
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Question: `q002. I have in a room 8 people with dark hair brown, 2 people with bright red hair, and 9 people with light brown or blonde hair. Nobody has more than one hair color. Is it possible that there are exactly 17 people in the room?
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Your solution:
Set of all people in room = {b,b,b,b,b,b,b,b,r,r,l,l,l,l,l,l,l,l,l} where ""b"" = dark brown hair, ""r"" = red hair and ""l"" = blonde hair. 8+2+9 = 19. Therefore, it is not possible that there are exactly 17 people in the room.
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Question: `q003. I have in a room 6 people with dark hair and 10 people with blue eyes. There are only 14 people in the room. But 10 + 6 = 16, which is more than 14. How can this be?
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Your solution:
Set of people in room = {dddddd,bbbbbbbbbb} where ""d"" = dark hair and ""b"" = blue eyes.
Yes, there can be only 14 people in the room if 2 of the people have both dark hair and blue eyes.
confidence rating #$&*:ry confident based on materials presented in Chap 2.1 regarding cardinality of numbers
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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:
10 of the cylindrical blocks are red.
confidence rating #$&*:irly confident
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@& When substituting these files you need to insert your answers into a copy of the document.
That document includes formatting tags, which are necessary for the feedback process. So in the future, be sure you don't delete anything that was in the original document. Insert in the appropriate places, but don't delete.
In any case you appear to understand this well. Let me know if you have questions.*@