1. Solving & Graphing Inequalities
A-REI 1, 3, 10
A-CED 1, 2
N-Q 1
A-SSE 1
F-IF 2, 6

2. Objective - To write, solve, graph and interpret simple, compound, and absolute value inequalities.

3. The ≠ (not equal to) sign is also an inequality symbol.
INEQUALITIES
The four basic inequality symbols are:
The ≠ (not equal to) sign is also an inequality symbol.

4. VARIABLE SYMBOL NUMBER
Writing an inequality
FORM is important!
You should ALWAYS write your inequality in the form:
VARIABLE SYMBOL NUMBER
i.e < x
should be written
x > 5

5. Graphing an inequality
The inequality symbols tell us the type of “dot” to use:
Use an open dot
Use a closed dot

6. Graphing an inequality
Using the correct form tells us the direction of the arrow!

7. Graphing an inequality
Equations
Inequalities
Solve and graph.
Solve and graph.
One Solution
Infinite Solutions

8. Graph the following inequalities.1) 3) 2) 4)

9. Solve and graph the inequalities.1) 2)

10. Solve and graph the inequalities.3) 4)

11. Solve and graph the inequalities.1) 2)

12. For what values of x is the statement true? x = 3 x = 2 x = 1 x = 0
Inequalities transform like equations except...
For what values of x
is the statement true?
x = 3
x = 2
x = 1
x = 0
reverse
x = -1
x = -2
we know ...

13. Inequalities transform like equations except...
When multiplying or dividing by a negative
number you must reverse (flip) the inequality.
Negative side
Positive side
Large is small
Large is large
reverse

14. Solve and graph the inequalities.1) 2)

15. Solve and graph the inequalities.3) 4)