Answer
a.) $A \cup B \cup C = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]$
b.) $A\cap B\cap C = \emptyset$
Work Step by Step
$Find$ $the$ $indicated$ $set$ $if:$
$A = [1, 2, 3, 4, 5, 6, 7]$
$B = [2, 4, 6, 8]$
$C = [7, 8, 9, 10]$
a.) $A \cup B \cup C$
We find the union of the variables for A, B, and C. Place the units in chronological order
$A \cup B \cup C = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]$
b.) $A \cap B \cap C$
We find what units in A, B, and C intercept each other. We determine that there is no unit available intercept at all for A, B, and C together.
$A\cap B\cap C = \emptyset$