Exploring Inequalities: Writing, Solving, and Graphing

Which symbol represents 'less than or equal to'?

• >

• <

• ≤

• ≥

If x is less than 5, which of the following is true?

• x can be 6

• x can be 5

• x can be 7

• x can be 4

Which of the following inequalities is correct?

• 6 > 8

• 5 > 3

• 9 > 9

• 12 ≥ 15

Is 10 a solution for the inequality b - 4 > 12 when b = 10?

• Yes, because 10 is greater than 12

• No, because 10 - 4 is not greater than 12

• No, because 10 is less than 12

• Yes, because 10 - 4 is greater than 12

What is the solution for the inequality 10c ≤ 70 when c = 7?

• 70 is not a solution

• 70 is greater than 70

• 70 is equal to 70

• 70 is less than 70

How do you represent x is greater than -2 on a number line?

• A filled dot on -2 with an arrow to the right

• A filled dot on -2 with an arrow to the left

• An open dot on -2 with an arrow to the left

• An open dot on -2 with an arrow to the right

Which symbol is used to represent 'at least' in an inequality?

• <

• ≤

• >

• ≥

How would you write the inequality for 'a number decreased by 18 is greater than or equal to 12.8'?

• n + 18 ≤ 12.8

• n - 18 ≥ 12.8

• n - 18 ≤ 12.8

• n + 18 ≥ 12.8

Which phrase indicates a 'less than' inequality?

• Minimum

• Below

• No more than

• At least

What does the phrase 'no less than' indicate in an inequality?

• Greater than

• Less than

• Less than or equal to

• Greater than or equal to