Understanding Inequalities and Graphing

Which symbol represents 'less than or equal to'?

• ≥

• ≤

• >

• <

What does an open circle on a number line indicate?

• The inequality is less than or equal to.

• The inequality is greater than or equal to.

• The number is not included in the solution set.

• The number is included in the solution set.

If a suitcase weighs 4.8 pounds empty and you add 25 pounds, what is the total weight?

• 31 pounds

• 29.8 pounds

• 28.8 pounds

• 30 pounds

What inequality represents the maximum weight Elena can pack without a fee?

• x + 4.8 < 30

• x + 4.8 > 30

• x + 4.8 ≤ 30

• x + 4.8 ≥ 30

How do you solve the inequality x + 4.8 < 30?

• Subtract 4.8 from both sides

• Add 4.8 to both sides

• Multiply both sides by 4.8

• Divide both sides by 4.8

What is the solution to the inequality x < 25.2?

• x is not equal to 25.2

• x is less than 25.2

• x is equal to 25.2

• x is greater than 25.2

Which graph represents x > -2.5?

• Closed circle at -2.5, shading to the left

• Open circle at -2.5, shading to the left

• Closed circle at -2.5, shading to the right

• Open circle at -2.5, shading to the right

What does a closed circle on a number line indicate?

• The number is included in the solution set.

• The number is not included in the solution set.

• The inequality is less than.

• The inequality is greater than.

Which graph shows x < -2.5?

• Open circle at -2.5, shading to the left

• Closed circle at -2.5, shading to the left

• Closed circle at -2.5, shading to the right

• Open circle at -2.5, shading to the right

If x is greater than -2.5, which of the following is true?

• x is less than or equal to -2.5

• x is greater than -2.5

• x is equal to -2.5

• x is less than -2.5