Graphing Compound Inequalities

What does a compound inequality involve?

• Two inequalities connected with 'but' or 'nor'

• An equation with no inequalities

• A single inequality with multiple variables

• Two inequalities connected with 'and' or 'or'

How can the inequality '7 < X < 9' be rewritten?

• X > 7 or X < 9

• 7 < X or X < 9

• X < 7 and X > 9

• 7 < X and X < 9

What is the first step in graphing a compound inequality involving 'and'?

• Identify the cutoff points on the number line

• Graph each inequality separately

• Combine the inequalities into one statement

• Shade the entire number line

In the inequality 'X > 0 and X ≤ 4', what type of circle is used at 0?

• Half-open circle

• Open circle

• Closed circle

• No circle

In the inequality 'X > 0 and X ≤ 4', what type of circle is used at 4?

• No circle

• Closed circle

• Open circle

• Half-open circle

What does the word 'and' signify in a compound inequality?

• Only one condition needs to be true

• One condition must be false

• Neither condition needs to be true

• Both conditions need to be true

How do you graph the inequality 'X < -1 or X > 2'?

• Shade the regions to the left of -1 and to the right of 2

• Shade the entire number line

• Shade only the points -1 and 2

• Shade the region between -1 and 2

What does the word 'or' signify in a compound inequality?

• One condition must be false

• Neither condition needs to be true

• Both conditions need to be true

• Only one condition needs to be true

In the inequality 'X < -1 or X > 2', what type of circle is used at -1?

• Closed circle

• Open circle

• Half-open circle

• No circle

In the inequality 'X < -1 or X > 2', what type of circle is used at 2?

• Open circle

• Closed circle

• Half-open circle

• No circle