1.

If `X=" "{a ," "b ," "c ," "d}`and `Y=" "{f," "b ," "d ," "g}`, find(i) `X" "" "Y`(ii)`Y" "" "X`(iii)`X nnY`

Answer» `X={a,b,c,d}and Y={f,b,d,g}`
(i) `X-Y={x:x in X " but "x cancel(in)Y}`
`={a,c}`
Therefore, `X-Y = {a,c}`
(ii) `X = {a,b,c,d} and Y={f,b,d,g}`
`Y - X={x:x in Y " but "x cancel(in) X}`
`={f,g}`
Therefore, `Y-X={f,g}`
(iii) `X={a,b,c,d}and Y={f,b,d,g}`
`X capY={x:x in X and X in Y}`
`={b,d}`
Therefore, `X cap Y = {b,d}`.


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