Example of union of sets, Mathematics

Need help, please anybody solve this:

Consider the universal set T and its subsets A, B and C underneath as:

T = {a, b, c, d e, f}

A = {a, d}

B = {b, c, f}

C = {a, c, e, f}

Find out

i) A υ B

ii) A υ C          

iii) B υ C         

iv) A υ B υ C

Posted Date: 2/12/2013 5:51:05 AM | Location : United States





Hope you are looking for this type of solution,

i) A ?B   = {a, d} ? {b, c, f} = {a, b, c, d, f}

ii) A ? C  = {a, d}?  {a, c, e, f} = {a, c, d, e, f}

iii) B ? C = {b, c, f} ?  {a, c, e, f} = {a, b, c, e, f}

iv) A ?B ? C  = {a, d} ?  {b, c, f } ?  {a, c, e, f} = {a, b, c, d, e, f} = T

Posted by isbell | Posted Date: 2/12/2013 5:51:56 AM

Solution

i) A υB   = {a, d} υ {b, c, f} = {a, b, c, d, f}

ii) A υ C  = {a, d} υ  {a, c, e, f} = {a, c, d, e, f}

iii) B υ C = {b, c, f} υ  {a, c, e, f} = {a, b, c, e, f}

iv) A υB υ C  = {a, d} υ  {b, c, f } υ  {a, c, e, f} = {a, b, c, d, e, f} = T

Posted by Robert | Posted Date: 2/12/2013 5:54:22 AM


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