Questions: Let S=1,2,3,4,5,6,7,8,9,10 be the universal set. Let sets A, B, and C be subsets of S, where: Set A=1,3,5,7,8 Set B=3,8,9,10 Set C=4,6,9 LIST the elements in the set A ∩ B ∩ C:

Let S=1,2,3,4,5,6,7,8,9,10 be the universal set.
Let sets A, B, and C be subsets of S, where:
Set A=1,3,5,7,8
Set B=3,8,9,10
Set C=4,6,9
LIST the elements in the set A ∩ B ∩ C:

Transcript text: Let $S=\{1,2,3,4,5,6,7,8,9,10\}$ be the universal set. Let sets $A, B$, and $C$ be subsets of $S$, where: Set $A=\{1,3,5,7,8\}$ Set $B=\{3,8,9,10\}$ Set $C=\{4,6,9\}$ LIST the elements in the set $A \cap B \cap C:\{$ $\square$

Solution

Solution Steps

Step 1: Identify the Universal Set and Subsets

The universal set $U$ is given as: $U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}$ The subsets are given as follows: Subset $A$: ${1, 3, 5, 7, 8}$ Subset $B$: ${8, 9, 10, 3}$ Subset $C$: ${9, 4, 6}$

Step 2: Perform Set Operations Sequentially

Performing intersection operation with subset $A$. Performing intersection operation with subset $B$. Performing intersection operation with subset $C$.