linear inequalities - graphing

Front

What is a linear inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a dashed or solid line. 2. Shade the region that satisfies the inequality (above or below the line).

Front

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

Back

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

Front

If the inequality is y < mx + b, where should you shade?

Back

You should shade below the line because the inequality indicates that y is less than the linear expression.

Front

If the inequality is y > mx + b, where should you shade?

Back

You should shade above the line because the inequality indicates that y is greater than the linear expression.

Front

What does it mean if a point lies on the dashed line of a graph of an inequality?

Back

If a point lies on the dashed line, it is not a solution to the inequality.