EOC Boot Camp Systems of Linear Inequalities

Front

What type of line is used when graphing an inequality with the symbols < or >?

Back

A dotted line is used.

Front

What is the system of inequalities represented by the graph that shows x > 2 and y ≤ -4?

Back

The system of inequalities is x > 2 and y ≤ -4.

Front

Which point is a solution to the system of inequalities x > 2 and y ≤ -4?

Back

(2, -5) is a solution.

Front

What condition leads to a system of two linear inequalities having no solution?

Back

The boundary lines are parallel.

Front

When graphing an inequality, which symbols indicate that you shade below the line?

Back

The symbols < and ≤ indicate shading below the line.

Front

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

Back

A solid line indicates ≤ or ≥, while a dotted line indicates < or >.

Front

How do you determine which side of the line to shade when graphing an inequality?

Back

You can test a point not on the line; if it satisfies the inequality, shade that side.

Front

What does the solution set of a system of inequalities represent?

Back

It represents all the points that satisfy all inequalities in the system.

Front

What is the graphical representation of the inequality y > 3?

Back

The area above the line y = 3 is shaded, and the line itself is dotted.

Front

How can you tell if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality; if all inequalities are satisfied, it is a solution.