Chapter 2 - Lesson 1

Question 1

Conjecture

Answer 1

A conclusion is reached from observing a pattern.`

Question 2

Inductive Reasoning

Answer 2

Reaches a conclusion based on a specific pattern.

Ex: You see 4 people walk in and then back out of a building with food on the way out. You can use inductive reasoning to conclude that the building has a restaurant.

Question 3

Counterexample

Answer 3

Example showing the conjecture is false.

Ex: Conjecture - the difference between two negative numbers is always negative. Counterexample of this is (-2) - (-10) = 8.

Question 4

Find Counterexample.

If a flower is red, then it is a rose.

Answer 4

Poppy

Question 5

Find Counterexample.

All prime numbers are odd.

Answer 5

2

Question 6

Find Counterexample.

All numbers that are divisible by 3 are also divisible by 6.

Answer 6

21

Question 7

Find Counterexample.

When you multiply a number by 2, the product is always greater than the original number.

Answer 7

2 * (-4) = -8