Graphing Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).

Front

What does a solid line indicate in graphing linear inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (≥ or ≤).

Front

What does a dashed line indicate in graphing linear inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set (> or <).

Front

How do you determine whether to shade above or below the line in a graph?

Back

If the inequality is 'greater than' (>) or 'greater than or equal to' (≥), shade above the line. If it is 'less than' (<) or 'less than or equal to' (≤), shade below the line.

Front

What is the inequality for a line with a slope of 3 and a y-intercept of -2?

Back

The inequality is y > 3x - 2.

Front

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

Back

1. Graph the line y = 4x - 2 with a dashed line. 2. Shade below the line.

Front

What does the inequality symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be equal to or greater than the number.

Front

What does the inequality symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to', indicating that the value can be equal to or less than the number.

Front

If the inequality is y > 4x - 10, where do you shade?

Back

You shade above the line.

Front

What is the first step in graphing a linear inequality?

Back

The first step is to graph the corresponding linear equation as if it were an equality.