Graphing Inequalities on a Number Line

What is an inequality?

• A mathematical statement with a single solution.

• A mathematical statement with multiple solutions.

• A mathematical statement with no solution.

• A mathematical statement with only positive solutions.

Which of the following numbers is a solution to the inequality X < 5?

• 5

• 10

• 6

• 4

How is the number 5 represented on the number line for the inequality X < 5?

• With a closed circle at 5

• With an open circle at 5

• With a shaded circle at 5

• With a filled triangle at 5

What does the shaded region to the left of 5 represent in the inequality X < 5?

• All numbers greater than 5

• All numbers less than 5

• All numbers equal to 5

• Only the number 5

How is the number 5 represented on the number line for the inequality X ≤ 5?

• With a shaded circle at 5

• With an open circle at 5

• With a closed circle at 5

• With a filled triangle at 5

Which of the following numbers is a solution to the inequality X ≤ 5?

• 6

• 5

• 7

• 10

Which side of the number line is shaded for the inequality X > -2?

• Left side

• Right side

• Both sides

• Neither side

How is the number -2 represented on the number line for the inequality X > -2?

• With a closed circle at -2

• With an open circle at -2

• With a shaded circle at -2

• With a filled triangle at -2

Which of the following numbers is a solution to the inequality X > -2?

• -1

• -3

• -4

• -2

How is the number -2 represented on the number line for the inequality X ≥ -2?

• With a filled triangle at -2

• With a shaded circle at -2

• With an open circle at -2

• With a closed circle at -2