MATH STUFF TO REMEMBER

X and Y intercepts

Found by letting x and y be 0 alternately.

Linear Inequality Graph

Graphs with show a broken line.

Half Plane

The graph of a linear inequality.

Independent Variable

The variable x in a function, which does not depend on y.

Dependent Variable

The variable y in a function, which depends on the value of x.

Conditional Statement

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

Converse Statement

The inverse of a conditional statement where hypothesis and conclusion are interchanged.

Biconditional Statement

A statement that is true in both its conditional and converse form, written as p ↔ q.

Inverse Statement

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

Contrapositive Statement

Formed by negating and interchanging the hypothesis and conclusion of a conditional statement.

Inductive Reasoning

The process of gathering specific information to make a conjecture.

Conjecture

An educated guess based on observations.

Counterexample

An example used to disprove a conjecture.

Deductive Reasoning

The process of drawing logically certain conclusions from premises.

Syllogism

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