hw2solsmc - Solutions to Homework 2 - Math 2000 Notes:...

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Solutions to Homework 2 - Math 2000 Notes: Questions 1.21,1.22 were covered in the tutorial. The solution to 1.23 may be found in the back of the book. (# 1.17) Let U = { 1 , 3 , . . . , 15 } be the universal set, A = { 1 , 5 , 9 , 13 } , and B = { 3 , , 9 , 15 } . Solution . ( a ) . A B = { 1 , 3 , 5 , 9 , 13 , 15 } ( b ) . A B = { 9 } ( c ) . A - B = { 1 , 5 , 13 } ( d ) . B - A = { 3 , 15 } ( e ) . A = U - A = { 3 , 7 , 11 , 15 } ( f ) . B = U - B = { 1 , 5 , 7 , 11 , 13 } A B = { 1 , 5 , 13 } . (# 1.26) For a real number r R , define A r = { r 2 } , B r = [ r - 1 , r + 1], and C r = ( r, ). Let S = { 1 , 2 , 4 } . Determine α S A α , α S A α , α S B α , α S B α , α S C α , and α S C α . Solution . (a). We have [ α S A α = A 1 A 2 A 4 = { 1 2 } ∪ { 2 2 } ∪ { 4 2 } = { 1 , 4 , 16 } . ± α S A α = A 1 A 2 A 4 = { 1 2 } ∩ { 2 2 } ∩ { 4 2 } = φ. (b). We have
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hw2solsmc - Solutions to Homework 2 - Math 2000 Notes:...

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