Graphing Inequalities on a Number Line

This video tutorial teaches how to graph inequalities on a number line. It covers the four inequality symbols: less than, greater than, less than or equal to, and greater than or equal to. The tutorial explains when to use open or closed circles on the number line and provides practice examples to reinforce the concepts. A helpful trick is shared for determining the direction of the arrow when graphing inequalities.

What is the first step in graphing inequalities?

• Fill in the circle

• Identify the inequality symbol

• Draw the number line

• Choose a random number

How do you remember the 'less than' symbol?

• By making a 'G' with your right hand

• By making an 'L' with your right hand

• By making an 'L' with your left hand

• By making a 'G' with your left hand

What type of circle is used for the 'greater than' symbol on a number line?

• No circle

• Closed circle

• Half-filled circle

• Open circle

Which symbol represents 'less than or equal to'?

• >

• <

• <=

• >=

What does a closed circle on a number line indicate?

• The number is included

• The number is greater

• The number is not included

• The number is less

In the inequality x > -2, what type of circle is used on the number line?

• Open circle on -2

• Closed circle on -2

• Open circle on 2

• Closed circle on 2

For the inequality x ≥ 7, which direction does the arrow point on the number line?

• Left

• Right

• Up

• Down

If given a graph with a closed circle on 1 and shading to the left, what is the inequality?

• x < 1

• x > 1

• x ≥ 1

• x ≤ 1

What does an open circle on -6 with shading to the right represent?

• x ≥ -6

• x < -6

• x ≤ -6

• x > -6

Which trick can help determine the direction of the arrow when x is on the left side of the inequality?

• The arrow points in the same direction as the inequality symbol

• The arrow always points to the left

• The arrow always points to the right

• The arrow points in the opposite direction of the inequality symbol