Exercises For Common Set Operations

MCQs on identifying properties of various operations

Under what conditions is the following statement true?

$A \cup B = A$

Under what conditions is the following statement true?

$A \cup B = B$

Under what conditions is the following statement true?

$A - B = A$

Under what conditions is the following statement true?

$A \cap B = B$

Under what conditions is the following statement true?

$n(A \cup B) = n(A) + n(B)$

Under what conditions is the following statement true?

$n(A \cap B) = n(A)$

Under what conditions is the following statement true?

$A - B = B$

Under what conditions is the following statement true?

$n(A \cap B) = 0$

Under what conditions is the following statement true?

$A \cup B = U$

Under what conditions is the following statement true?

$A \cup B = B \cup A$

Under what conditions is the following statement true?

$n(A \cap B) = n(B)$

Under what conditions is the following statement true?

$U - A = \phi$

Match the column activity for finding the results of various operations

For these given sets, match the correct expression to its set.

$U = \{0,1,2,3,4,5,6,7,8,9\}$

$A = \{1,3,5,7\}$

$B = \{2,3,5,8\}$

$C = \{0,2,4,6,8\}$

Activity: Match The Columns!

Reorder the Set to match them with the correct Expression.

Expression

Set

$A - B^c$

$B - C^c$

$A^c \, \cap \, C^c$

$U^c$

$A \cap (B \cup C^c)$

$B^c - C^c$

End of Lesson