SYSTEMS OF INEQUALITIES Mr. Velazquez

Honors Precalculus

INEQUALITIES IN TWO VARIABLES

The solution of an inequality of two variables, 𝒙 and 𝒚, is an ordered pair of real numbers such that when substituted into the inequality, we obtain a true statement. Each ordered pair solution is said to satisfy the inequality.

GRAPHING LINEAR INEQUALITIES

A half-plane is the set of all points on one side of a line.

A half plane is the graph of an inequality that involves

> or <. The graph of an inequality that involves or

is a half-plane and a line.

A solid line is used to show that

a line is part of a graph. A dashed line is used to show that

a line is not part of a graph.

GRAPHING LINEAR INEQUALITIES

GRAPHING LINEAR INEQUALITIES

GRAPHING WITHOUT TEST POINTS

GRAPHING NONLINEAR INEQUALITIES

GRAPHING NONLINEAR INEQUALITIES

SYSTEMS OF INEQUALITIES

To solve a system of inequalities, we must graph both inequalities and find the area where both shaded regions coincide. This region will contain all possible solutions for the system of inequalities.

GRAPHING NONLINEAR INEQUALITIES

GRAPHING NONLINEAR INEQUALITIES

CLASSWORK & HOMEWORK

CLASSWORK: SYSTEMS OF INEQUALITIES

Solve the following system of inequalities by graphing the solution.

HOMEWORK:

Systems of Equations HW 3

(MathXL)