Graphing systems of inequalities!

Front

What does it mean to shade below in a graph of an inequality?

Back

Shading below indicates that the solutions to the inequality are all the points below the line, meaning the y-values are less than the values on the line.

Front

Which point is NOT part of the solution set for the inequality y < x + 2?

Back

(-1, -3) is NOT part of the solution set.

Front

What does the graph of y ≥ x - 3 look like?

Back

The graph is shaded above the line y = x - 3, including the line itself.

Front

What type of line is used for inequalities with < or >?

Back

A dashed line is used for inequalities with < or > to indicate that points on the line are not included in the solution set.

Front

What type of line is used for inequalities with ≤ or ≥?

Back

A solid line is used for inequalities with ≤ or ≥ to indicate that points on the line are included in the solution set.

Front

How do you determine which side to shade for the inequality y < 2x + 1?

Back

You test a point not on the line (like (0,0)). If it satisfies the inequality, shade the side containing that point.

Front

What does the inequality x > 2 represent on a graph?

Back

It represents all points to the right of the vertical line x = 2, not including the line itself.

Front

What is the solution set for the system of inequalities x < 3 and y > x - 1?

Back

The solution set includes all points below the line y = x - 1 and to the left of the line x = 3.

Front

How do you graph the inequality y ≤ -2x + 4?

Back

Graph the line y = -2x + 4 as a solid line and shade below it.

Front

What is the significance of the dashed line in graphing inequalities?

Back

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