Solving Systems of Linear Inequalities

Front

What symbol indicates a dotted line when graphing an inequality?

Back

<, >

Front

What is a solution to the system of inequalities: y < 2x - 1 and y > -2x + 3?

Back

(2, -5)

Front

What does a solid line represent when graphing an inequality?

Back

The symbols ≤ or ≥.

Front

What is the graphical representation of the inequality y ≤ 2x - 1?

Back

The area below or on the line y = 2x - 1.

Front

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

Back

Substitute the point into each inequality and check if all are true.

Front

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

Back

A solid line includes the boundary (≤, ≥), while a dotted line does not (<, >).

Front

What does the inequality y > 2x - 1 represent graphically?

Back

The area above the line y = 2x - 1.

Front

How do you graph the system of inequalities y ≤ 2x - 1 and y > -2x + 3?

Back

Graph both lines, shade the appropriate regions, and find the intersection.

Front

What is the solution set of a system of linear inequalities?

Back

The region where the shaded areas of all inequalities overlap.

Front

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

Back

Graph each inequality as if it were an equation.