2-Variable Inequality Illustrator

Use the interactive graph below to answer the questions that follow. Click and drag the points to change the equation of the line. Use the slider on the right of the graph to change the inequality type.[br] Remember:[br] [math]\le[/math] Less than or equal to[br] [math]<[/math] Less than[br] [math]\ge[/math] Greater than or equal to[br] [math]>[/math] Greater than

Section One

Graph inequality [math]y\ge1x+3[/math]. Which of the following describes this graph?

Line is solid, graph is shaded below Line is dashed, graph is shaded above Line is solid, graph is shaded above Line is dashed, graph is shaded below

Graph the inequality [math]y>1x+3[/math]. How does this graph differ from [math]y\ge1x+3[/math]?

The inequality is now shaded below. There is no change. These are the same inequality. The line is now dotted.

Section Two

Graph the inequality [math]y>-\frac{1}{2}x+1[/math]. Choose all of the following that describes this graph.

Line is dashed Line is solid Slope of the line is positive Graph is shaded below Slope of the line is negative Graph is shaded above

Graph the inequality [math]y<-\frac{1}{2}x+1[/math]. How does this graph differ from [math]y>-\frac{1}{2}x+1[/math]?

There is no change. These are the same inequality. The line changed from dashed to solid. The shaded region changed from above to below.

Section Three

Graph the inequality [math]y<\frac{2}{3}x+2[/math]. Choose all of the following that describe this graph.

Graph is shaded above Slope is positive Line is solid Graph is shaded below Line is dashed Slope is negative

Graph the inequality [math]y\ge\frac{2}{3}x+2[/math]. Choose all of the following that describe this graph.

Line is dashed Graph is shaded above Graph is shaded below Slope is negative Slope is positive Line is solid

2-Variable Inequality Illustrator

Section One

Section Two

Section Three

Information: 2-Variable Inequality Illustrator