Graphing Compound Inequalities

Front

What does a closed circle on a number line represent?

Back

It represents that the endpoint is included in the solution (less than or equal to, or greater than or equal to).

Front

What does an open circle on a number line represent?

Back

It represents that the endpoint is not included in the solution (less than or greater than).

Front

What is the difference between 'AND' and 'OR' in compound inequalities?

Back

'AND' means both conditions must be true, while 'OR' means at least one condition must be true.

Front

How do you graph the inequality x ≥ 2 and x ≤ 4?

Back

Draw a number line, place a closed circle at 2 and 4, and shade the region between them.

Front

What does the inequality 0 ≤ x < 5 mean?

Back

x can be any number from 0 to 5, including 0 but not including 5.

Front

How do you represent the inequality x > 2 or x < 4 on a graph?

Back

Draw an open circle at 2 and shade to the right, and draw an open circle at 4 and shade to the left.

Front

What is the solution set for the inequality x < -1 or x > 3?

Back

The solution set includes all numbers less than -1 and all numbers greater than 3.

Front

When graphing 'AND' inequalities, how does the shading appear?

Back

The shading connects the two endpoints on the number line.

Front

What is the inequality represented by the graph with a closed circle at -2 and an open circle at 5?

Back

-2 ≤ x < 5.

Front

How do you write the inequality for the graph that shows x ≥ 2 and x ≤ 4?

Back

The inequality is written as 2 ≤ x ≤ 4.