Graphing Inequalities

Front

What does a solid line indicate in graphing inequalities?

Back

A solid line indicates that the inequality includes the boundary line, meaning it has 'or equal to' in the symbol.

Front

What does a dashed line indicate in graphing inequalities?

Back

A dashed line indicates that the inequality does not include the boundary line, meaning it does not have 'or equal to' in the symbol.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

What is the inequality for a graph that is shaded above a solid line at y = -2?

Back

y ≥ -2

Front

What is the inequality for a graph that is shaded below a dashed line at y = 3?

Back

y < 3

Front

How do you represent the inequality x > 5 on a number line?

Back

Draw a dashed line at x = 5 and shade to the right.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

What does the symbol '>' mean?

Back

It means 'greater than'.

Front

How would you graph the inequality 2x + 3y < 6?

Back

First, graph the line 2x + 3y = 6 with a dashed line, then shade below the line.

Front

What is the solution set for the inequality a ≤ 11?

Back

The solution set includes all values of a that are less than or equal to 11.