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A bass guitarist worked on 15 music projects last year. He wrote and produced 5 projects. He wrote a total of 9 projects. Use a Venn diagram to determine:

a. How many projects he wrote but did not produce
b. How many projects he produced but did not write.

Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced

Sagot :

Step-by-step explanation:

W = Set of projects the guitarist wrote

P = Set of products he produced

A bass guitarist worked on 15 music projects last year.

Universal set = 15

He wrote and produced 5 projects.

W ∩ P = 5

He wrote a total of 9 projects.

W = 9

The Venn Diagram is given in the attached image.

a. How many projects he wrote but did not produce (W - P)?

W - P = W - W ∩ P

W - P =  9 - 5 = 4

He wrote 4 projects but did not produce them.

b. How many projects he produced but did not write (P - W)?

Universal set = (W - P) + (P - W) + W ∩ P

15 = 4 + (P - W) + 5

(P - W) = 15 - 9 = 6

He produced 6 projects but did not write them

View image lawalj99
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