Question

question 5 of 30 (1 point) | question attempt: 1 of unlimited
find the union or intersection as indicated, given the following sets:
a = {0, 4, 8, 12}, b = {0, 3, 6, 9, 12}, c = {-4, 4, 8}
part 1 of 6
(a) ( a cup b )
( a cup b = {0, 3, 4, 6, 8, 9, 12} )
part 2 of 6
(b) ( a cap b )
( a cap b = {0, 12} )
part 3 of 6
(c) ( a cup c )
( a cup c = {-4, 0, 4, 8, 12} )
part: 3 / 6 try one last time
skip part recheck

Explanation:

Step1: Find $A\cap B$ (common elements)

Identify shared values in $A=\{0,4,8,12\}$ and $B=\{0,3,6,9,12\}$

Step2: Find $A\cup B$ (all unique elements)

Combine $A$ and $B$, remove duplicates

Step3: Find $A\cup C$ (all unique elements)

Combine $A=\{0,4,8,12\}$ and $C=\{-4,4,8\}$, remove duplicates

Answer:

(a) $A\cup B = \{0, 3, 4, 6, 8, 9, 12\}$
(b) $A\cap B = \{0, 12\}$
(c) $A\cup C = \{-4, 0, 4, 8, 12\}$