Solving and Graphing Linear Inequalities

Front

What type of line is used to represent the inequality y > 3x + 7?

Back

Dashed line

Front

What type of line is used when the inequality includes ≤ or ≥?

Back

Solid line

Front

What inequality is represented by a number line that has an open circle at -4 and shading to the left?

Back

x < -4

Front

If a graph shows a closed circle at -1 with shading to the left, what inequality does it represent?

Back

x ≤ -1

Front

When graphing y > mx + b, where do you shade?

Back

Above the line

Front

What does a dashed line indicate in a graph of an inequality?

Back

The inequality does not include the boundary line (e.g., > or <).

Front

What does a solid line indicate in a graph of an inequality?

Back

The inequality includes the boundary line (e.g., ≤ or ≥).

Front

How do you determine which side of the line to shade for y < mx + b?

Back

Shade below the line.

Front

What is the general form of a linear inequality?

Back

y < mx + b, y > mx + b, y ≤ mx + b, or y ≥ mx + b.

Front

What is the first step in graphing a linear inequality?

Back

Graph the corresponding linear equation as a dashed or solid line.