MATH STUFF TO REMEMBER

x and y intercepts

Found by letting x and y be 0 alternately.

Linear inequality graph with < and >

The graph will have a broken line.

Graph of a linear inequality

Represents a half plane.

Function

A relation where the value of y depends on the value of x.

Dependent variable

The variable whose value depends on the independent variable (y in a function).

Independent variable

The variable that determines the value of the dependent variable (x in a function).

Conditional statement

A compound statement of the form 'If p then q' where p is the hypothesis and q is the conclusion.

Converse statement

The statement formed by interchanging the hypothesis and conclusion of a conditional statement.

Biconditional statement

A statement that is true both conditionally and conversely, written as 'p if and only if q'.

Inverse statement

The statement formed by negating both the hypothesis and conclusion of a conditional statement.

Contrapositive statement

The statement formed by negating both the hypothesis and conclusion of a conditional and interchanging them.

Inductive reasoning

The process of gathering specific information and making conjectures based on observations.

Conjecture

An educated guess based on several observations which may or may not be true.

Counterexample

An example that disproves a conjecture by showing that the statement is false.

Deductive reasoning

A process that shows certain statements follow logically from agreed assumptions and proven facts.

Syllogism

An argument composed of a major premise, a minor premise, and a conclusion.