legs into the empty set?

Transcription

1 Math 1350 Activity 2(Chapter 2)(Due by EOC Sep. 26) Group# How do you turn the set arms, legs into the empty set? Given the following sets, find each intersection or union as requested. Note: Some of the unions and intersections are given in terms of the original sets. Match your answer with the lettered answers below, and place the letter in the corresponding box at the bottom of the page to get the answer to the riddle. A 4, 2,0,2,4, B 5, 3, 1,0,1,3,5, C 5, 4, 3, 2, 1,0, D 0,1,2,3,4,5 1) A B 2) A C 3) C D 4) A B 5) C D 6) A D C 7) C D A 8) A D A B A 2,4,6,8,, B 1,3,5,7,, C 3,6,9,12,, D 5,10,15,20, 9) A B 10) C D 11) A B 12) A C 0,1,2,3, 0, 1, 2, 3, 1, 1, 1 D, 3, 2, 1,0,1,2,3, A, B, C, ) A B 14) A B 15) A D 16) C D A B C U 17) A B 18) B C 19) B C 20) A C B I. A B. B G. C N. D 1,2,3,4, M. 0 E. or L. 1,2,3,4,5 O. R. 4, 2,0 T. 0,2,4 S. 5, 4, 3, 2, 1,0,1,2,3,4,5 V. 15,30,45,60, Y. 6,12,18,24, Z. 0,4,8,12,

2 A college professor asked his class of 42 students when they had studied for his class the previous weekend. 9 studied on Friday 18 studied on Saturday 30 studied on Sunday 3 studied on Friday and Saturday 10 studied on Saturday and Sunday 6 studied on Friday and Sunday 2 studied on Friday, Saturday, and Sunday Complete the Venn diagram of the survey and answer the following questions. Friday Saturday 2 Sunday U 1. How many students studied only on Sunday? 2. How many students studied on only one day? 3. How many students studied on exactly two days? 4. How many students didn t study on the previous weekend?

3 The following figures consist of congruent line segments(sticks). Unless otherwise stated, you are not allowed to remove a stick completely. 1. Move just one stick to make a correct statement. (Try to find at least two different solutions!) 2. Arrange 4 sticks to make Move just one stick to make a correct statement.(try to find at least two different solutions!)

4 4. Move just one stick to make a correct statement. (Try to find at least two different solutions!) 5. Remove 3 sticks to make a correct statement. 6. Remove seven letters from the following sentence so that it is still a true statement. FIVE PLUS SIX PLUS SEVEN EQUALS EIGHTEEN {Look for Roman numerals.} 7. Add 5 sticks of any size to make 9.

5

6

7

8

9

10 The numbers above are related to the famous Problem 79 of the Rhind Papyrus which dates from 1650 BC. It states that there are seven houses; in each house there are seven cats; each cat eats seven mice; each mouse eats seven ears of spelt; each ear of spelt produces seven hekat of grain. Find the total number of items involved. So what s the answer? It is believed to have inspired the following famous nursery rhyme riddle. As I was going to St Ives. I met a man with seven wives. And every wife had seven sacks. And every sack had seven cats. And every cat had seven kits. Kits, cats, sacks, and wives, how many were going to St Ives? So what s the answer?

11 1. The sum of the digits of a two-digit number is 7. The number is five times the units digit. Find the number. {Hint: Check the list of possibilities or use algebra. Possibilities: 16,25,34,43,52,61 or solve t u 7 and 5u 10t u.} 2. The sum of the digits of a two-digit number is 10. The number is 2 less than eight times the units digit. Find the number. {Hint: Check the list of possibilities or use algebra. Possibilities: 19,28,37,46,55,64,73,82,91 or solve t u 10 and 10t u 8u 2.} 3. The sum of the digits of a two-digit number is 12. The number is 20 more than eight times the tens digit. Find the number. {Hint: Check the list of possibilities or use algebra. Possibilities: 39,48,57,66,75,84,93 or solve t u 12 and 10t u 8t 20.}

12 4. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 9 larger than the original number. What is the original number? {Hint: Check the list of possibilities or use algebra. Possibilities: 18,27,36,45,54,63,72,81 or solve t u 9 and 10u t 10t u 9.} 5. The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 63 larger than the original number. What is the original number? {Hint: Check the list of possibilities or use algebra. Possibilities: 29,38,47,56,65,74,83,92 or solve t u 11 and 10u t 10t u 63.} 6. The sum of the digits of a three-digit-number is 6. The tens digit is one less than the ones digit. If the digits are reversed, the new number is 198 larger than the original number. What is the original number? {Hint: Check the list of possibilities or use algebra. Possibilities: 501,312,123, or solve h t u 6, t u 1, and 100u 10t h 100h 10t u 198.}

13

14 Write the answer to each problem in the blank to the right. Use the Decoder to solve the riddle by filling in the spaces at the bottom of the page.

15 Write the answer to each problem in the blank to the right. Use the Decoder to solve the riddle by filling in the spaces at the bottom of the page.

16 Solve for the unknown base(s) b six b 3. 52seven 34b b eight b four b 7. 15a 30b b b twelve 43 b 11. XYb 20, X Y 6, and Y X 2

17 whole kilogram of meat between 1 and 80 kilograms. 8, two of each. He claimed that he could determine the mass of any Think about base 3 numerals.

18 Can he determine the mass of any whole kilogram of meat from 1 to 40 kilograms, if he only has one of each mass? Try to balance the following using the first three as a guide.