Graphing Inequalities and Number Lines

The video tutorial explains how to graph solutions for inequalities on number lines. It covers graphing 'less than' and 'greater than' inequalities using open circles, and 'less than or equal to' and 'greater than or equal to' using closed circles. The tutorial includes practice problems to reinforce the concepts.

What does a closed circle on a number line represent?

• 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.

If x is less than 4, how would you represent this on a number line?

• Open circle at 4, shade to the right.

• Closed circle at 4, shade to the right.

• Open circle at 4, shade to the left.

• Closed circle at 4, shade to the left.

How do you graph x > 4 on a number line?

• Open circle at 4, shade to the left.

• Closed circle at 4, shade to the right.

• Closed circle at 4, shade to the left.

• Open circle at 4, shade to the right.

What does a closed circle at 4 with shading to the left represent?

• x < 4

• x ≥ 4

• x ≤ 4

• x > 4

How would you graph x ≥ 4 on a number line?

• Closed circle at 4, shade to the right.

• Closed circle at 4, shade to the left.

• Open circle at 4, shade to the left.

• Open circle at 4, shade to the right.

A canary's beak is at most 2 cm long. Which inequality matches this situation?

• B < 2

• B ≥ 2

• B > 2

• B ≤ 2

A cat can have up to 8 kittens in one litter. Which inequality matches this situation?

• K < 8

• K > 8

• K ≤ 8

• K ≥ 8

A light bulb will last at least 3 months. Which inequality matches this situation?

• L < 3

• L > 3

• L ≤ 3

• L ≥ 3

If students in Mrs. Sanchez's class scored an A on their quiz, which inequality matches this situation?

• S ≤ 90

• S ≥ 90

• S < 90

• S > 90

Which of the following represents an open circle at 90% with shading to the left?

• S ≥ 90

• S ≤ 90

• S < 90

• S > 90