Graphing Inequalities

Front

What does the inequality x < -4 mean?

Back

It means that x can be any number less than -4.

Front

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

Back

You draw an open circle at 5 and shade to the right.

Front

What does the inequality x ≥ -5 indicate?

Back

It indicates that x can be -5 or any number greater than -5.

Front

What is the graph representation of the inequality 2 > p?

Back

The graph shows all values to the left of 2, with an open circle at 2.

Front

How is the inequality k < 3 represented on a number line?

Back

An open circle at 3 with shading to the left.

Front

What does an open circle on a number line signify?

Back

It signifies that the number is not included in the solution.

Front

What does a closed circle on a number line signify?

Back

It signifies that the number is included in the solution.

Front

How do you write the inequality for a graph that shows all numbers less than or equal to 4?

Back

x ≤ 4.

Front

What is the difference between x < 5 and x ≤ 5?

Back

x < 5 does not include 5, while x ≤ 5 includes 5.

Front

If a graph shows x > -2, what does it look like?

Back

An open circle at -2 and shading to the right.