1. Solving One-Step Inequalities
Inequality- mathematical sentence that uses the symbols < , >, ≤ , ≥ to compare two amounts.
Solution Set- the set of values that make the inequality true.

2. Copy this table into your notes.
Symbol
Meaning
Graph
<
Less than
Open circle
>
Greater than ≤
Less than or equal to
Closed circle ≥
Greater than or equal to

3. This is why we use an open circle when we graph the inequality
Let’s think ………
What is less than 2 ….. X < 2?
1,0,-1,-2,-3…
What about… ½ or ?
Is 2 less than 2?
This is why we use an open circle when we graph the inequality
x< 2

4. The arrow tells us that everything to the left of 2 is included
The open circle tells us that 2 is not included
The arrow tells us that everything to the left of 2 is included

5. Where do we put the circle ?
Graph x > 2
Where do we put the circle ?
In which direction does the arrow go?
Think…what could you plug in for x that is greater than 2?

6. What about x ≤ 2 ……is 2 ≤ 2 Which way does the arrow go?
This is why we graph with a closed circle.
The closed circle tells us that 2 is included.
Which way does the arrow go?

7. Where do we put the circle ?
What about x ≥ 2 ……is 2 ≥ 2
Where do we put the circle ?
Which way does the arrow go?

8. Your Turn x > 8 x< 7 x ≤ 4 x ≥ -3 x < -5 x ≤ 6
Write the inequality above the number line.
Graph the inequality.
x > 8
x< 7
x ≤ 4
x ≥ -3
x < -5
x ≤ 6

11. Solving One- Step Inequalities