Graphing Inequalities on a Number Line

Hannah is graphing the inequality . She draws a number line and shades over the numbers that are greater than 4.

What must she do to complete his representation of x > 4?

• Draw an open circle at 4.

• Draw a closed circle at 4.

• Draw an open circle at 5.

• Draw a closed circle at 5.

What inequality does the number line graph represent?

• x > 5

• x < −5

• x ≥ 5

• x ≥ −5

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

What inequality does the number line graph represent?

• x ≤ -4

• x ≥ -4

• x < -4

• x < 4

Select the statement that represents all the solutions of the inequality.

• all rational numbers equal to 8

• all integers less than 8

• all rational numbers greater than 8

• all rational numbers less than 8

Choose the inequality that has that solution shown on the graph.

Ashley sees a sign that says you must be more than 48 inches tall to ride a roller coaster. She writes the inequality as h > 48. How can she graph the solutions of the inequality?

• Plot an open circle at 48 and shade left.

• Plot a closed circle at 48 and shade left.

• Plot an open circle at 48 and shade right.

• Plot a closed circle at 48 and shade right.

Amani's mom spends more than 2 hours planning for Amani's birthday. The inequality represents the situation. Which graph represents the inequality?

• 
• 
• 
• 

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

• ≤, <

• ≥, >

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

• ≤, <

• ≥, >