Graphing Inequalities on a Number Line Graph

Front

What is the inequality represented by a graph with a closed dot at -2 and a line extending to the left?

Back

b ≤ -2

Front

What does the inequality 6 > x imply about the values of x?

Back

x can be any number less than 6.

Front

When graphing an inequality, what does an open dot signify?

Back

An open dot signifies that the endpoint is not included in the solution (used for < and >).

Front

Provide two examples of numbers that satisfy the inequality x < 8.

Back

0.8 and 5.9 are examples.

Front

What type of circle is used to graph the inequality x < 3?

Back

An open circle is used.

Front

What is the difference between a closed dot and an open dot in graphing inequalities?

Back

A closed dot indicates that the number is included (≤ or ≥), while an open dot indicates it is not included (< or >).

Front

How would you graph the inequality x ≥ 4 on a number line?

Back

Use a closed dot at 4 and shade to the right.

Front

What does the inequality x ≤ 5 mean in terms of possible values for x?

Back

x can be any number less than or equal to 5.

Front

If you have the inequality x > -1, how would you represent this on a number line?

Back

Use an open dot at -1 and shade to the right.

Front

What is the significance of the direction of the arrow when graphing inequalities?

Back

The direction of the arrow indicates the range of values that satisfy the inequality.