Graphing linear inequalities

Front

What does a solid line indicate in graphing linear inequalities?

Back

A solid line indicates that the inequality includes the boundary line, meaning the symbol has 'or equal to' (≤ or ≥).

Front

What does a dashed line indicate in graphing linear inequalities?

Back

A dashed line indicates that the inequality does not include the boundary line, meaning the symbol does not have 'or equal to' (< or >).

Front

How do you determine if a point is a solution to a linear inequality?

Back

A point is a solution if it satisfies the inequality when substituted into it, and it lies in the shaded region of the graph.

Front

What is the difference between 'y ≤ mx + b' and 'y < mx + b'?

Back

'y ≤ mx + b' uses a solid line and includes points on the line, while 'y < mx + b' uses a dashed line and does not include points on the line.

Front

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

Back

'≥' means 'greater than or equal to', indicating that the values can be equal to the boundary line.

Front

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

Back

'>' means 'greater than', indicating that the values cannot equal the boundary line.

Front

How do you graph the inequality y ≥ -3/4 x + 3?

Back

Graph the line y = -3/4 x + 3 with a solid line, then shade above the line.

Front

What is the first step in graphing a linear inequality?

Back

The first step is to graph the corresponding linear equation as if it were an equality.

Front

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

Back

Shading above the line indicates that the solutions are greater than the line's values.

Front

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

Back

Shading below the line indicates that the solutions are less than the line's values.