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 values on the line are part of the solution set (e.g., ≥ 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 values on the line are not part of the solution set (e.g., > or <).

Front

What is the inequality represented by the graph with a solid line and shading above it?

Back

y ≥ mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if an inequality will have a solid line?

Back

If the inequality symbol includes 'or equal to' (≥ or ≤), it will have a solid line.

Front

How do you determine if an inequality will have a dashed line?

Back

If the inequality symbol does not include 'or equal to' (> or <), it will have a dashed line.

Front

What is the slope of a line represented by the equation y = -4x + 2?

Back

The slope is -4.

Front

What is the slope of a line represented by the equation y = 1/4x - 3?

Back

The slope is 1/4.

Front

How do you graph the inequality y < -x - 5?

Back

Graph the line y = -x - 5 as a dashed line and shade below it.

Front

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

Back

It means 'greater than' and does not include the boundary line.

Front

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

Back

It means 'less than' and does not include the boundary line.