Graph linear inequalities

Front

What does a solid line represent in a graph of a linear inequality?

Back

A solid line indicates that the points on the line are included in the solution set, which occurs when the inequality symbol has 'or equal to' (≥ or ≤).

Front

What does a dotted line represent in a graph of a linear inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set, which occurs when the inequality symbol does not include 'or equal to' (> or <).

Front

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

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the general form of a linear inequality in two variables?

Back

Front

What is the significance of the slope in a linear inequality?

Back

The slope indicates the steepness of the line and the direction of the inequality. A positive slope means the line rises, while a negative slope means it falls.

Front

How can you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a solid or dotted line. 2. Choose a test point not on the line to determine which side of the line to shade.

Front

What does the shaded region in a graph of a linear inequality represent?

Back

The shaded region represents all the solutions to the inequality, indicating where the inequality holds true.

Front

What is the difference between 'y > mx + b' and 'y ≥ mx + b'?

Back

'y > mx + b' uses a dotted line and does not include points on the line, while 'y ≥ mx + b' uses a solid line and includes points on the line.

Front

How do you write the inequality for a graph with a solid line and shaded above?

Back

Front

How do you write the inequality for a graph with a dotted line and shaded below?

Back