What will be the possible minimum and maximum cardinality of following sets, if X is a...
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What will be the possible minimum and maximum cardinality of following sets, if X is a set of n numbers and Y is a set of m numbers and n is greater than m. (12 points) (a) XnY (b) XUY (c) X - Y (d) Y-X Prove or disprove following by giving examples: (15 points) (a) If X C Y and X c Z, then X CYNZ (b) If X Y and Y ≤ Z, then X ≤ Z (c) If XE Y and Y EZ, then X EZ What will be the possible minimum and maximum cardinality of following sets, if X is a set of n numbers and Y is a set of m numbers and n is greater than m. (12 points) (a) XnY (b) XUY (c) X - Y (d) Y-X Prove or disprove following by giving examples: (15 points) (a) If X C Y and X c Z, then X CYNZ (b) If X Y and Y ≤ Z, then X ≤ Z (c) If XE Y and Y EZ, then X EZ
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