Exploring Inequalities: Notes and Examples

What does the symbol '≥' represent?

• Greater than or equal to

• Greater than

• Less than or equal to

• Less than

Which symbol would you use for the phrase '17 is less than G'?

• >

• <

• ≤

• ≥

If a person must be at least 60 inches tall to ride a roller coaster, which inequality represents this?

• X > 60

• X < 60

• X ≥ 60

• X ≤ 60

What does an open circle on a number line indicate?

• The number is not included in the solution

• The number is included in the solution

• The number is greater than the solution

• The number is less than the solution

How would you graph the inequality M ≤ 3 on a number line?

• Open circle on 3, shade to the right

• Closed circle on 3, shade to the left

• Open circle on 3, shade to the left

• Closed circle on 3, shade to the right

What is the first step in solving the inequality C + 4 > 5?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

In the inequality 3 ≥ X + 2, what operation would you perform to isolate X?

• Add 2 to both sides

• Divide both sides by 2

• Subtract 2 from both sides

• Multiply both sides by 2

How would you graph the inequality X < 20 on a number line?

• Closed circle on 20, shade to the right

• Open circle on 20, shade to the left

• Closed circle on 20, shade to the left

• Open circle on 20, shade to the right

What is the solution to the inequality X/4 < 5?

• X < 1

• X < 9

• X < 20

• X < 25

How would you solve the inequality 2M ≤ 10?

• Subtract 2 from both sides

• Add 2 to both sides

• Divide both sides by 2

• Multiply both sides by 2