Graphing Inequalities

Front

What does the inequality x ≥ -5 mean?

Back

The value of x is greater than or equal to -5.

Front

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

Back

An open dot is used for inequalities with < or >, indicating that the endpoint is not included.

Front

What are two examples of numbers that satisfy the inequality x < 8?

Back

7 and 0 are examples of numbers that satisfy x < 8.

Front

How would you graph the inequality a ≥ 11?

Back

You would place a closed dot at 11 and shade to the right.

Front

What does the inequality x > 3 indicate about the value of x?

Back

The value of x is greater than 3.

Front

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

Back

x ≤ 3 includes 3, while x < 3 does not.

Front

How do you represent the inequality a < 11 on a number line?

Back

You would place an open dot at 11 and shade to the left.

Front

What does the inequality x ≥ 3 mean in terms of possible values for x?

Back

x can be 3 or any number greater than 3.

Front

If x < 8, which of the following numbers is NOT a solution: 9, 7, 5?

Back

9 is NOT a solution because it is not less than 8.

Front

What symbol would you use for an inequality that includes the endpoint?

Back

You would use ≤ or ≥.