Question

Given: Set ( A ) is a set of mammals, set ( B ) is reptiles, while set ( C ) is a set of endangered animals.

( U = elephant, tiger, red panda, dog, orangutan, wolf, tortoise, chameleons, snakes, turtles, snail )
( A = elephant, tiger, red panda, dog, orangutan, wolf )
( B = tortoise, chameleons, snakes, turtles, snail )
( C = elephant, tiger, red panda, orangutan, tortoise, chameleons, dinosaurs )
Find ( A cap C ).
a. {elephant, tiger, red panda, orangutan, wolf
b. {elephant, tiger, red panda, orangutan, wolf, tortoise, chameleons
c. {elephant, tiger, red panda, orangutan
d. {tortoise, chameleons, dinosaurs

Answer 1

The intersection (A ∩ C), which represents the common elements between set A of mammals and set C of endangered animals, consists of {elephant, tiger, red panda, orangutan}.

Step-by-step explanation:

To find (A ∩ C), you need to identify the elements that are common to both set A (the set of mammals) and set C (the set of endangered animals). By reviewing the provided sets we can see:

• Set A: {elephant, tiger, red panda, dog, orangutan, wolf}
• Set C: {elephant, tiger, red panda, orangutan, tortoise, chameleons, dinosaurs}

Comparing the two sets, we can determine that the common elements between set A and set C are: {elephant, tiger, red panda, orangutan}. These are the members of set A that are also endangered animals, which are represented in set C.

Therefore, the correct answer is c. {elephant, tiger, red panda, orangutan}.