Solving Systems of Inequalities by graphing

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables.

Front

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

Back

Substitute the point into each inequality. If it satisfies all inequalities, it is a solution.

Front

What does it mean if a line is dashed in a graph of an inequality?

Back

It indicates that the points on the line are not included in the solution set.

Front

What does it mean if a line is solid in a graph of an inequality?

Back

It indicates that the points on the line are included in the solution set.

Front

What is the graphical representation of the inequality y < 2x + 3?

Back

A dashed line for y = 2x + 3 with shading below the line.

Front

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

Back

Graph each inequality on the same coordinate plane.

Front

What does shading above a line in a graph of an inequality represent?

Back

It represents all the solutions where the y-value is greater than the line.

Front

What does shading below a line in a graph of an inequality represent?

Back

It represents all the solutions where the y-value is less than the line.

Front

How can you check if a point is a solution to the inequality y > 3x - 1?

Back

Substitute the x and y values of the point into the inequality and see if it holds true.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable.