Graphs of 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 such as <, >, ≤, or ≥.

Front

What does the symbol '>' indicate in a linear inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right, and the line used to graph this inequality is dashed.

Front

What does the symbol '≥' indicate in a linear inequality?

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right, and the line used to graph this inequality is solid.

Front

Back

Front

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

Back

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

Front

Back

Front

What is the solution set of the inequality @@y eq 3@@?

Back

Front

How do you graph the inequality @@y eq 3@@?

Back

Front

What does the inequality @@y eq 3@@ represent graphically?

Back

Front

Back

The slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units; the area below the line is shaded.