AFDA Unit 3 Linear Inequality Graphs

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 (such as <, >, <=, >=) instead of an equal sign.

Front

How do you convert a linear inequality to slope-intercept form (y = mx + b)?

Back

To convert a linear inequality to slope-intercept form, isolate y on one side of the inequality. For example, from -3y >= 6x, divide by -3 (remember to flip the inequality sign) to get y <= -2x.

Front

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

Back

The shaded area in a graph of a linear inequality represents all the solutions to the inequality. Points in the shaded area satisfy the inequality.

Front

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

Back

The symbol '<' indicates that the values on the left side of the inequality are less than the values on the right side.

Front

What does the symbol '<=' indicate in a linear inequality?

Back

The symbol '<=' indicates that the values on the left side of the inequality are less than or equal to the values on the right side.

Front

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

Back

The symbol '>' indicates that the values on the left side of the inequality are greater than the values on the right side.

Front

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

Back

The symbol '>=' indicates that the values on the left side of the inequality are greater than or equal to the values on the right side.

Front

How do you determine which inequality symbol to use based on a graph?

Back

You determine the inequality symbol by observing the shaded area: if it includes the boundary line, use <= or >=; if it does not include the boundary line, use < or >.

Front

What is the significance of the boundary line in a linear inequality graph?

Back

The boundary line represents the values that make the inequality true. If the line is solid, points on the line are included; if dashed, they are not.

Front

How can you graph the inequality y > x - 2?

Back

To graph y > x - 2, first graph the line y = x - 2 as a dashed line, then shade the area above the line.