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Video Review Quiz Applications Group Activity

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Presentation on theme: "Video Review Quiz Applications Group Activity"— Presentation transcript:

1 Video Review Quiz Applications Group Activity
Sets (Applications) Video Review Quiz Applications Group Activity

2 Four Basic Set Operations
What is A – { } ? What is U’ ? What is U ∩ { } ? What is A U A? Union Intersection Complement Difference Four Basic Set Operations

3 U X Y h Z i = {a,b,c,d,f,g} = {a,b,g,h,i} = {c,f} = {e,f,g,h,i}
Use the Venn Diagram to list the members of the specified sets. = {a,b,c,d,f,g} = {a,b,g,h,i} = {c,f} = {e,f,g,h,i} = {a,b,c,d,e,f,g,h,i}

4 PLEASE FOLLOW THE SEATING CHART
DOOR BOARD SMALL SANGREGORY STAFFORD PROJECTOR BARKER BROWN TABLE LOTTCHEA GREENE CHARLTON RATTO PRICE, HUNTER KEATING ROY KOONTS CROOKS ROURK TAYLOR PRICE VELTRI PLEASE FOLLOW THE SEATING CHART

5 A B C U WARM - UP X = {l, s, g, h}, Y = {1, 2, s, g}, Z = {l, s, 2}
I. A. Use the Venn Diagram to list the members of the specified sets. A B C 1 8 6 7 5 2 9 4 3 U 15 11 1. 2. 3. B. Considering the following sets, list the elements of the specified sets. X = {l, s, g, h}, Y = {1, 2, s, g}, Z = {l, s, 2} 1 min 1 min 1 min 1 min 1 min 1 min 1 min 1 min 1 min 1 min II. List all the subsets of 7. A = {R, U, S} 1 min 1 min 1 min 1 min 1 min III. Shade the region representing each set. A B C A B C A B C

6 Answer the HW Discuss 3 examples Group work Report
Sets (Applications) Answer the HW Discuss 3 examples Group work Report

7 VENN DIAGRAMS UNION INTERSECTION COMPLEMENT

8 VENN DIAGRAMS DIFFERENCE

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11 Assignment: In a survey of 75 consumers, 12 indicated that they were going to buy a new car, 18 said they were going to buy a new refrigerator, and 24 said they were going to buy a new washer. Of these, 6 were going to buy both a car and a refrigerator, 4 were going to buy a car and a washer, and 10 were going to buy a washer and a refrigerator. One person indicated that she was going to buy all three items. Construct a Venn diagram, label your diagram clearly.  Use your diagram to answer the following questions: (a) How many were going to buy only a car? (b) How many were going to buy only a washer? (c) How many were going to buy only a refrigerator (d) How many were going to buy a car and a washer but not a refrigerator? (e) How many were going to buy none of these items?

12 In a survey of 75 consumers, 12 indicated that they were going to buy a new car, 18 said they were going to buy a new refrigerator, and 24 said they were going to buy a new washer. Of these, 6 were going to buy both a car and a refrigerator, 4 were going to buy a car and a washer, and 10 were going to buy a washer and a refrigerator. One person indicated that she was going to buy all three items. U C R 5 3 3 1 3 9 11 W 40

13 U M E 11 8 Use a Venn Diagram to solve the problems below. 9
1. A class was asked what was their favorite subject. Twenty students liked mathematics, seventeen likes English and nine liked both subjects. How many students are in the class? U M E 11 8 9 There are 28 students.

14 U A B Use a Venn Diagram to solve the problems below.
2. You have two sets of numbers. Illustrate this numbers using a Venn Diagram where in, Set A includes all counting numbers from 15 to 26 and Set B includes all even numbers between 21 and 31. U A B 19 22 15 28 23 16 25 24 26 21 17 30 18 20

15 Use a Venn Diagram to solve the problems below.
3. John’s mom ordered pizza for his birthday party. Out of the forty-eight who showed up to his party, 25 guests wanted pepperoni, 15 wanted both pepperoni and sausage, and 2 liked neither. How many liked only sausage toppings? U P S 10 15 6 2 There were 6 guests.

16 1. Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five students are in both classes, how many students are in neither class? How many are in either class? 2. Suppose I discovered that my cat had a taste for the adorable little geckoes that live in the bushes and vines in my yard, back when I lived in the farm. In one month, suppose he deposited the following on my carpet: six gray geckoes, twelve geckoes that had dropped their tails in an effort to escape capture, and fifteen geckoes that he'd chewed on a little. Only one of the geckoes was gray, chewed on, and tailless; two were gray and tailless but not chewed on; two were gray and chewed on but not tailless. If there were a total of 24 geckoes left on my carpet that month, and all of the geckoes were at least one of "gray", "tailless", and "chewed on", how many were tailless and chewed on but not gray? 3. Suppose that a group of 200 students are surveyed and ask which chat rooms they have joined. There are three chat rooms in our survey; one for skateboarding, one for bicycling, and one for college students. How many students joined the room for skateboarding OR bicycling? 90 students joined the room for skateboarding; 50 students joined the room for bicycling; 70 students joined the room for college students; 15 students joined rooms for skateboarding and college students; 12 students joined rooms for bicycling and college students; 25 students joined rooms for skateboarding and bicycling; 10 students joined all three rooms

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21 III. Shade the region representing each set.
B C A B C U U A B C A B C U U

22 Homework Prepare for a long test


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