U2C1: Inductive and Deductive Reasoning

Question 1

inductive reasoning

Answer 1

the process of making observations, recognizing patterns, and making conclusions based on those patterns

Question 2

conjecture

Answer 2

a conclusion developed from generalizing an idea using the inductive method

Question 3

counterexample

Answer 3

an example that proves that a conjecture is false

Question 4

deductive reasoning

Answer 4

the process of using known facts to make conclusions

Question 5

conditional statement

Answer 5

a statement that can be written in if-then form

Question 6

converse

Answer 6

formed by exchanging the hypothesis and conclusion of a conditional statement

Question 7

negation

Answer 7

formed by placing the word “not” into the original statement

Question 8

inverse

Answer 8

formed when both the hypothesis and conclusion of a conditional statement are negated

Question 9

contrapositive

Answer 9

formed by interchanging and negating the hypothesis and conclusion of a conditional statement

Question 10

biconditional

Answer 10

can be written if both a conditional statement and its converse are true in the form “hypothesis if and only if conclusion”