Inequalities on a Number Line

Inequalities on a Number Line

To Solve inequalities on a number line:

*Greater than/Less than- maked with an open circle

*Greater than or equal to/Less than or equal to- marked with a closed circle

Inequality: x < -2

• 1. Find -2 on your number line a

• 2. Look at your symbol and mark -2 with an open or closed circle : Remember closed circle is for greater than/less than or equal to (Line under symbol). Open symbol is for just greater than or equal to (< >)

• 3. Mark with a line the area that represents "x". Because x is less than -2, we want to mark all the numbers that are less than -2.

 $Inequality:\ x\ge\ 2$ 

• 1. Find -2 on your number line a

• 2. Look at your symbol and mark -2 with an open or closed circle : Remember closed circle is for greater than/less than or equal to (Line under symbol). Open symbol is for just greater than or equal to (< >)

• 3. Mark with a line the area that represents "x". Because x is more than -2, we want to mark all the numbers that are less than -2.

Multiple Choice

Which of these symbols means "Greater than or equal to"

• $\le$

• $\ge$

• $<$

• $>$

Multiple Choice

Which of these symbols means "Greater than"

• $\le$

• $\ge$

• $<$

• $>$

Multiple Choice

I am given the inequality 2 > x. What kind of circle do I mark on 2?

• open

• closed

Multiple Choice

If I see this symbol, what type of circle do I use to mark the number line?

 $\le$  

• closed

• Open

Multiple Choice

Select the inequality shown

• x > 0

• x ≥ 0

• x < 0

• x ≤ 0

Multiple Choice

Select the inequality shown

• x > 5

• x ≥ 5

• x < 5

• x ≤ 5

Multiple Choice

Select the inequality shown

• x > 3

• x ≥ 3

• x < 3

• x ≤ 3

Multiple Choice

Select the inequality shown

• x > 1

• x ≥ 1

• x < 1

• x ≤ 1