1. Examples
1. A = {1,2,3,4}, B = {3,4,5}, Find A delta B ...
Solution:
Here `A={1,2,3,4},B={3,4,5}`
`A - B = {1,2,3,4} - {3,4,5}`
`= {1,2,color{red}{3},color{green}{4}} - {color{red}{3},color{green}{4},5}`
`= {1,2}`
`B - A = {3,4,5} - {1,2,3,4}`
`= {color{red}{3},color{green}{4},5} - {1,2,color{red}{3},color{green}{4}}`
`= {5}`
`A Delta B = (A-B) uu (B-A)`
`= {1,2} uu {5}`
`= {1,2,5}`
2. B = {3,4,5}, C = {1,3,5}, Find B delta C ...
Solution:
Here `B={3,4,5},C={1,3,5}`
`B - C = {3,4,5} - {1,3,5}`
`= {color{red}{3},4,color{green}{5}} - {1,color{red}{3},color{green}{5}}`
`= {4}`
`C - B = {1,3,5} - {3,4,5}`
`= {1,color{red}{3},color{green}{5}} - {color{red}{3},4,color{green}{5}}`
`= {1}`
`B Delta C = (B-C) uu (C-B)`
`= {4} uu {1}`
`= {4,1}`
3. A = {x<=5; x in N}, B = {2<=x<=8; x in N}, Find A delta B ...
Solution:
`A={x<=5; x in N}`
`:.A={1,2,3,4,5}`
`B={2<=x<=8; x in N}`
`:.B={2,3,4,5,6,7,8}`
`A - B = {1,2,3,4,5} - {2,3,4,5,6,7,8}`
`= {1,color{red}{2},color{green}{3},color{blue}{4},color{maroon}{5}} - {color{red}{2},color{green}{3},color{blue}{4},color{maroon}{5},6,7,8}`
`= {1}`
`B - A = {2,3,4,5,6,7,8} - {1,2,3,4,5}`
`= {color{red}{2},color{green}{3},color{blue}{4},color{maroon}{5},6,7,8} - {1,color{red}{2},color{green}{3},color{blue}{4},color{maroon}{5}}`
`= {6,7,8}`
`A Delta B = (A-B) uu (B-A)`
`= {1} uu {6,7,8}`
`= {1,6,7,8}`
This material is intended as a summary. Use your textbook for detail explanation.
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