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3 years ago

if you’re good with set theory and word problems in math 30 please help with questions 42 and 43 !! real answers only !!

Mathematics

1 answer:

aleksklad [387]3 years ago

6 0

Answer: 42) 2, 3 43) 144

<u>Step-by-step explanation:</u>

42)

1. n(P) = 8 + 5 = 13 (not 8) This statement is False.

2. n(Q but not P) = 9 This statement is True!

3. n(neither P nor Q) = 2 This statement is True!

4. n(Q') --> (n (not Q) = 8 + 2 = 10 (not 8) This statement is False.

5. P ∪ Q = 8 + 9 - 5 = 12 (not 5) This statement is False.

43)

Fill in the Venn Diagram as follows (from left to right):

M only = 55 --> 89 - (17 + 4 + 13) = 55

M ∩ E = 17 --> 30 - 13 = 17

E only = 5 --> 46 - (17 + 13 + 11) = 5

B ∩ M = 4 --> 17 - 13 = 4

M ∩ E ∩ B = 13 --> given

B ∩ E = 11 --> 24 - 13 = 11

E only = 35 --> 63 - (13 + 4 + 11) = 35

<u>(M ∪ E ∪ B)' = 4 </u> --> given

Total = 144

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