Set Operations
Consider the sets \[\begin{align} A &=\{x \mid -8 < x < 4, x \text{ is an integer} \}\\ B &=\{x \mid -2 < x \leq 11, x \text{ is an integer} \}. \end{align}\] What is \( \lvert A \triangle B \rvert ?\)
Details and assumptions
You may choose to read the summary page Set Notation.
Consider two sets:
\[ A = \{ 5, 6, 7, 8, 9, 10 \} \\ B = \{ 6, 8, 10, 16, 24 \} \]
What is \( \lvert A \triangle B \rvert \)?
Consider the sets \[A=\{1,2,a+7\}, B=\{a+3, a^2, -a+10, 16\}.\] If \(A \cap B=\{1, 16\},\) what is the sum of all the elements in the set \(A \triangle B?\)
Details and assumptions
You may choose to read the summary page Set Notation.
If sets \(A\) and \(B\) satisfy \[\begin{align} A & =\{23, 11, 55, 6, 4, 18, 37 \},\\ A\cap B & =\{37, 55\}, \\ \lvert A \triangle B \rvert & =5, \end{align}\] what is the sum of all the elements in the set \(B?\)
Details and assumptions
You may choose to read the summary page Set Notation.
If \(A\) and \(B\) are two sets such that \[|A|=24, |B|=17, |B-A|=9,\] what is the value of \( \lvert A \triangle B \rvert ?\)
Details and assumptions
You may choose to read the summary page Set Notation.