Answer
a.) $B\cup C = [2, 4, 6, 7, 8, 9, 10]$
b.) $B\cap C = [8]$
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.) $B\cup C$
We find the union of the variables for B and C. Place the units in chronological order
$B\cup C = [2, 4, 6, 7, 8, 9, 10]$
b.) $B\cap C$
We find what units in B and C intercept each other. We determine that B and C only intercept at 8
$B\cap C = [8]$
