Graphing systems of inequalities!

Front

What does the inequality y ≥ x - 3 represent in terms of graph shading?

Back

The graph is shaded above the line.

Front

What is the system of inequalities represented by the following equations: y > -1/5x - 1/2 and y ≤ -2x - 4?

Back

The system includes one inequality that is greater than and one that is less than or equal to.

Front

What type of line is used to represent inequalities with > or

Back

A dashed line is used.

Front

When graphing the inequality y < k, where k is a constant, where do you shade?

Back

You shade below the line.

Front

What symbol indicates that a boundary line is included in the solution set?

Back

The symbol ≤ or ≥ indicates that the boundary line is included.

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 set, while a dashed line indicates they are not.

Front

How do you determine which direction to shade when graphing an inequality?

Back

You test a point not on the line; if the inequality holds true for that point, shade in that direction.

Front

What does the boundary line represent in a system of inequalities?

Back

The boundary line represents the points where the inequalities are equal.

Front

What is the significance of the slope in the inequality y < mx + b?

Back

The slope (m) indicates the steepness and direction of the line.

Front

How do you graph the inequality y ≥ 2x + 1?

Back

Graph the line y = 2x + 1 as a solid line and shade above it.