Solve the Puzzle questions

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4

So M G is the union of sets M and G.

Think U for Union!

Slide 33

U

M

G

We know that #(U) = 30, #(M) = 17, and #(G) = 12.

5

What about the white area inside the box?

Use the information at the top of this page to come up with a guess…then click on Sherlock to try the question on the next page…

We also know that #(M G) = 5 and #(M G) = 24

12

7

Slide 34

U

M

G

5

How many students neither play video games nor watch MTV ?

12

7

5

12

17

7

24

6

Slide 35

U

M

G

5

Right! There will be 6 students who don’t play video games or watch MTV, but are still part of the class, which is set U, with 30 students total.

Those 6 go in the white space.

12

7

6

Slide 36

Now click on the link below to play a game online that will test how well you understand Venn Diagrams.

You may see some symbols you don’t know, and you may see more than 1 circle!

This will be an exciting challenge! You can play this till it’s time to go!

http://nlvm.usu.edu/en/nav/frames_asid_153_g_4_t_1.html?open=instructions

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Almost! Let’s look at the information from the previous screen again.

GO BACK

Moreover, #(M G) = 5

The 5 students in this green region is denoted

M G, which is read, “M intersect G”

or “the intersection of M and G.”

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Almost! Let’s take another look…

GO BACK

U

M

G

5

Circle M, the blue and green area, has 17.

Now subtract out the 5 students who are already in there, inside the intersection area.

Not including the 5 in the green area, how many are in just the blue area?

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GO BACK

U

M

G

5

Circle G, the yellow and green area, has 12.

Now subtract out the 5 students who are already in there, inside the intersection area.

Not including the 5 in the green area, how many are in just the yellow area?

12

Almost! Let’s take another look…

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Almost! Let’s take another look…

GO BACK

U

M

G

5

The whole class has 30 students, so how many are not represented in the diagram so far?

12

7

#(U) = 30,

#(M) = 17

#(G) = 12.

#(M G) = 5

Slide 41