4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
b. The oldest leatherback sea turtle in captivity is 33 years
old.
c. American bison are never over 6 feet tall.

Question

contestada

Respuesta :

MrRoyal MrRoyal · Answer 1 · 2021-12-27T14:58:08+01:00

Counterexamples are simply used to disprove conjectures.

(a) Elephants and Giraffes

This conjecture may or may not be true.

However, it can be disproved by the following counterexample

There are sometimes more elephants in a zoo than giraffes

The word "sometimes" disproves the original conjecture

(b) The oldest leatherback sea turtle

This conjecture is not true.

This is so because the oldest leatherback sea turtle in captivity is actually 400 years old.

So, the conjecture can be disproved by the following counterexample

The oldest leatherback sea turtle in captivity is 400 years old.

(c) American bison

This conjecture may or may not be true.

However, it can be disproved by the following counterexample

American bison are sometimes over 6 feet tall

The word "sometimes" disproves the original conjecture

Read more about conjectures and counterexamples at:

https://brainly.com/question/1619980