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This math is new to me I'm trying to do these practice assignments to help me prepare for my test please help.

This math is new to me I'm trying to do these practice assignments to help me prepare-example-1
User Paulwhit
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1 Answer

9 votes
9 votes

Check below, please.

1) Let's begin with the intersection of the three sets, noticing that region

A∩B∩C comprises those three sets simultaneously.

A∩B∩C =19

1.b B∩C. Note that there are 22 elements altogether, we already have 19 so we can subtract from 22, 22-19 =3

1c. A∩B= 23, so for the empty gap we must subtract 19 from those 23 elements, and then, the answer is 4.

1.d B The total number of elements in set B is 32. So we can subtract from 32 (19+4+3 = 26. 32-26= 6

1.e A∩C has a total number of 23 elements, so we can subtract from them 19. 23-19=4

1.f) C. Since the set C has 29 elements we can subtract from 29: 19+3+4

29-26=3

1.g) A. Note that A set has a total number of 33 elements. So we can subtract from 33 elements 19+4+4. 33- 27=6

1.h) Finally the number of elements outside the sets but also part of the Universe. In those three sets, there are 45 elements. As the Universe set has 78 elements, we can subtract from those 78. 78-45 =33

2) Hence, the answer is:

This math is new to me I'm trying to do these practice assignments to help me prepare-example-1
User Apeescape
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