Chapter 2: conditional statements vocab

Question 1

Conditional statement is

Answer 1

A logical statement that has two parts a cause and affect ( hypothesis and a conclusion. If(p)- then(q)

Question 2

Negation:

Answer 2

opposite of the original statement. Put a squiggle in front of p or q in order to indicate a negation statement. NOT

Question 3

Converse:

Answer 3

Switch hypothesise and the conclusion ( Q-P)

Question 4

Inverse

Answer 4

THE NEGATION OF THE ORIGINAL STATEMENT.Negate p and q. Add not to p and q.

Question 5

Contrapositive

Answer 5

Negate and flip hypothesis and conclusion. The reverse negation of a conditional statement.

Question 6

Conjecture

Answer 6

An unproven statement based on observations

Question 7

Inductive reasoning

Answer 7

When you write a conjecture based off of a pattern

Question 8

Deductive Reasonings

Answer 8

Uses facts, definitions, accepted properties, and the laws of logic to form a logical argument

Question 9

Counter example

Answer 9

Evidence that shows that the conjecture is false

Question 10

Laws of logic are

Answer 10

Law of detachment and law of syllogism

Question 11

Law of detachment

Answer 11

If the hypothesis (p) of a true conditional statement is true, then the conclusion is also true.

Question 12

Law of syllogism

Answer 12

If a = b and b=c then, a=c. GET RID OF REPEATS. Isn’t true all the time