The candy store has two containers of hard candy. one container has cherry, blueberry, and raspberry. the second container has orange, lime, blueberry, and lemon. which set represents all flavors of candy in the containers?
a.) {cherry, blueberry, blueberry, raspberry, orange, lime, lemon }
b.) {cherry, blueberry, raspberry, orange, lime, lemon }
c.) {blueberry}
d.) {blueberry, raspberry}
b.) {cherry, blueberry, raspberry, orange, lime, lemon }
The set that represents all flavors of candy in the containers is:
b.) {cherry, blueberry, raspberry, orange, lime, lemon}
To determine the set that represents all flavors of candy in the containers, we need to find the union of the flavors in each container. The union of two sets is a set that contains all the unique elements from both sets.
The first container has three flavors: cherry, blueberry, and raspberry.
The second container has four flavors: orange, lime, blueberry, and lemon.
To find the union of the two containers' flavors, we combine all the unique flavors from both sets: cherry, blueberry, raspberry, orange, lime, and lemon.
Now let's look at the options:
a.) {cherry, blueberry, blueberry, raspberry, orange, lime, lemon } - This option contains duplicate blueberries.
b.) {cherry, blueberry, raspberry, orange, lime, lemon } - This option contains all the unique flavors from both containers and represents the correct answer.
c.) {blueberry} - This option only includes one of the flavors and does not represent all the flavors in the containers.
d.) {blueberry, raspberry} - This option only includes two of the flavors and does not represent all the flavors in the containers.
Therefore, the correct set that represents all the flavors of candy in the containers is:
b.) {cherry, blueberry, raspberry, orange, lime, lemon }