Graphing Inequalities in two variables

Front

What type of line is used with the symbols < and >?

Back

Dashed or dotted line.

Front

What type of line is used with the symbols ≤ and ≥?

Back

Solid line.

Front

Is the point (-1, 0) a solution to the inequality y < 2x + 1?

Back

No.

Front

What does the shaded area in a graph of an inequality represent?

Back

The set of all solutions to the inequality.

Front

How do you graph the inequality y > 3x - 2?

Back

Graph the line y = 3x - 2 as a dashed line and shade above it.

Front

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

Back

A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dashed line indicates they are not (< or >).

Front

What does the inequality y ≤ 4 represent on a graph?

Back

A horizontal line at y = 4, shaded below.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality and check if it holds true.

Front

What is the first step in graphing the inequality 2x + 3y < 6?

Back

Convert the inequality to the equation 2x + 3y = 6 to find the boundary line.

Front

What does the inequality x + y > 5 represent graphically?

Back

A line where x + y = 5 is dashed, and the area above the line is shaded.