Systems of Inequalities

Front

An inequality using > or < has a ___________ line.

Back

dotted

Front

An inequality using \ge or \le has a ___________ line.

Back

solid

Front

What is the solution set of the inequality \frac{1}{2}x - 3 < 0?

Back

x < 6

Front

Graph the inequality y < 2x + 1. What type of line is used?

Back

Dotted line for y < 2x + 1.

Front

What does the shaded region represent in a graph of a system of inequalities?

Back

The set of all solutions that satisfy all inequalities.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if all are true, it's a solution.

Front

What is the graphical representation of the inequality y \ge -x + 3?

Back

Solid line with shading above the line.

Front

What is the difference between a solid line and a dotted line in graphing inequalities?

Back

Solid line includes the boundary (\ge or \le), dotted line does not ( > or <).

Front

Solve the system of inequalities: y < 3x - 1 and y \ge -2x + 4. What is the intersection?

Back

The region where both inequalities are satisfied.

Front

What is the first step in graphing a system of inequalities?

Back

Graph each inequality as if it were an equation.