Understanding Inequalities

What is the main difference between graphing an inequality with a closed circle and one with an open circle?

• A closed circle means the inequality is false.

• An open circle indicates the number is included in the solution.

• A closed circle indicates the number is included in the solution.

• An open circle means the inequality is false.

If your height is greater than 52 inches, which of the following is true?

• 51 inches is included.

• 53 inches is included.

• 50 inches is included.

• 52 inches is included.

Which symbol represents 'greater than or equal to'?

• >=

• <=

• >

• <

What phrase can be used to describe 'less than or equal to'?

• Exceeds

• Fewer than

• At most

• More than

An automobile must have a fuel efficiency of at least 27.5 miles per gallon. Which inequality represents this?

• f < 27.5

• f >= 27.5

• f <= 27.5

• f > 27.5

If s - 9 < 4 and s = 6, is the inequality true or false?

• Depends on the value of s

• Cannot be determined

• False

• True

On a number line, if x is greater than 10, which direction should the shading go?

• No shading needed

• To the left

• To the right

• Both directions

For the inequality x <= 10, what type of circle should be used on the number line?

• No circle

• Closed circle

• Both open and closed circles

• Open circle

If 8 is greater than x, which direction should the shading go on the number line?

• No shading needed

• Both directions

• To the right

• To the left

What is the correct inequality for a graph with an open circle at 8 and shading to the left?

• x > 8

• x <= 8

• x >= 8

• x < 8