Graphing Inequalities

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the inequality (e.g., x ≤ 5).

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the inequality (e.g., x < 5).

Front

How do you represent the inequality 'x is greater than or equal to 3' on a number line?

Back

You would use a closed circle at 3 and shade to the right.

Front

What is the inequality for the graph that shows all numbers less than 2?

Back

x < 2.

Front

If the inequality is x > 4, how would you graph it?

Back

Use an open circle at 4 and shade to the right.

Front

What is the sum of 5 and a number x represented as an inequality?

Back

5 + x.

Front

How would you write the inequality for the graph that includes all numbers between -2 and 5, including -2 and 5?

Back

-2 ≤ x ≤ 5.

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers less than -4, with an open circle at -4.

Front

What is the difference between 'x ≤ 3' and 'x < 3'?

Back

'x ≤ 3' includes 3 (closed circle), while 'x < 3' does not include 3 (open circle).

Front

How do you express the inequality for all numbers greater than or equal to -1?

Back

x ≥ -1.