Graphing Linear Inequalities

Front

What does the inequality y ≥ -2x - 2 indicate about shading?

Back

The region above the line will be shaded.

Front

How can you tell if an inequality will have a solid line?

Back

If the inequality symbol includes 'or equal to' (≥ or ≤).

Front

Will the line be solid for the inequality 5 ≥ x?

Back

Yes, because it includes 'or equal to'.

Front

Which inequality describes a graph that is above the line with a slope of 3 and a y-intercept of -2?

Back

y > 3x - 2.

Front

What inequality corresponds to a graph that is below the line with a slope of 4 and a y-intercept of -2?

Back

y < 4x - 2.

Front

What is a linear inequality?

Back

An inequality that involves a linear expression, such as y < mx + b.

Front

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

Back

It means 'greater than'.

Front

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

Back

It means 'less than'.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates 'or equal to', while a dashed line indicates 'not equal to'.

Front

How do you graph the inequality y < 2x + 3?

Back

Graph the line y = 2x + 3 as a dashed line and shade below it.