(1) In the universal set U ={1,2,3,4,5} we define the following sets: A ={1,2,3}, B = {3,4}, and C = {5}. Find, using the appropriate notation, the following sets: (a) (AnB)UC (b) (AUB)°NC° (c) A \B

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Chapter2: Second-order Linear Odes
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(1) In the universal set U ={1,2,3,4, 5} we define the following sets: A = {1,2,3}, B = {3,4}, and C = {5}. Find,
using the appropriate notation, the following sets:
(a) (AnB)UC
(b) (AUB)ºNC°
(c) A\B
(d) В\AC
(е) В хА
(f) P(A) (power set of A)
(g) P(B × C)
(h) Find the number of elements in the power set P(U)
(i) Give a partition of U into 4 sets
Transcribed Image Text:(1) In the universal set U ={1,2,3,4, 5} we define the following sets: A = {1,2,3}, B = {3,4}, and C = {5}. Find, using the appropriate notation, the following sets: (a) (AnB)UC (b) (AUB)ºNC° (c) A\B (d) В\AC (е) В хА (f) P(A) (power set of A) (g) P(B × C) (h) Find the number of elements in the power set P(U) (i) Give a partition of U into 4 sets
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