a Think about which region represents the number of teens used a portable media player and DVR.
B
b Think about which region represents the number of teens used all three type of electronics.
C
c Think about which region represents the number of teens used only a cell phone.
D
d Think about which region represents the number of teens used a portable media player and a cell phone.
E
e Did 10 teens outside of the given regions use any of the given electronics?
A
a50 teens
B
b40 teens
C
c110 teens
D
d20 teens
E
e See solution.
Practice makes perfect
a The given Venn diagram shows the results of a survey about what type of electronics a group of 330 teens used.
Let's think about which region represents the number of teens used only a portablemediaplayer and DVR. This means that they used both of the electronics but they did not use cellphone. In this case, the purpleregion is the intersection region of only those two electronics shows the number that we want.
b The number of teens that used all three types of electronics must be represented by the intersection region of the three sets portablemediaplayer,DVR, and cellphone. This region is the white region.
40teensoutof330usedallthreetypesofelectronics.
c To determine the number of teens that used only a cellphone, we will look for the region that does not intersect with the sets portablemediaplayer, and DVR. We can see that the region we are looking for is yellowregion. Thus, we can determine the number as follows.
110teensoutof330usedonlyacellphone.
d This time, we will find the number of teens whoc used only a portablemediaplayer and a cellphone. This means that they used both of the electronics but they did not use DVR. In this case, the orangeregion is the intersection region of the two electronics showing the number that we want.
e10 teens out of the given regions do not use portablemediaplayer,DVR, and cellphone. We can say that without any doubt. However, they might use different type of electronics other than the given ones.
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