Solving/Interpreting Linear Inequalities in One Variable Whether Solid or Dotted Line

Front

What is a Linear Inequality?

Back

It's like a linear equation but instead of using an '=' it will have a less than, greater than or less/greater or equal to sign.

Front

How many steps are there to graphing a linear inequality?

Back

3

Front

What is the first step to graphing a linear inequality?

Back

Rearrange the equation (If needed) so 'y' is on the left and everything else on the right.

Front

What is the second step to graphing a linear inequality?

Back

Plot the 'y=' line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>).

Front

What is the third step to graphing a linear inequality?

Back

Shade above the line for a 'greater than' (y> or y≥) or below the line for a 'less than' (y< or y≤).

Front

What type of line is used for y≤ or y≥ when graphing?

Back

A solid line.

Front

What type of line is used for y< or y> when graphing?

Back

A dashed line.

Front

What does shading above the line indicate in a graph of a linear inequality?

Back

It indicates 'greater than' (y> or y≥).

Front

What does shading below the line indicate in a graph of a linear inequality?

Back

It indicates 'less than' (y< or y≤).

Front

Can a linear inequality have more than one variable?

Back

No, this topic focuses on linear inequalities in one variable.