algebraic methods B2 Ch1

Question 1

how do you prove by contradiction?

Answer 1

• assume that the negation is false
• use logical steps to show that the negation cannot be true
• conclude that the negation was incorrect and that the original statement was true

Question 2

what is a rational number?

Answer 2

one that can be written as a/b where a and b are integers

Question 3

what is an irrational number?

Answer 3

one that cant be expressed as a/b where a and b are integers