Algebra 1

1. Solving Inequalities
Chapter 6
Sections 1 and 2

2. Solving Inequalities
 Simplify both sides.
– Use the distributive property.
– Combine like terms.
– Follow PEMDAS.
 Bring all variables to one side ( Try to
keep the coefficient positive).
 Undo operations, addition/subtraction,
multiplication/division.

3. Examples
 

4. Be Careful
2x – 3 > 2 (x -4)
2x – 3 > 2x – 8
-3 > -8
-3x > 24
x > -8
Wrong!

5. Try These


6. Application
In 1982 Wayne Gretsky set a new record
for the greatest number of hockey goals in
one season with 92 goals. Suppose that a
hockey player has 59 goals so far in a
season. What are the possible numbers
of additional goals that the player can
make in order to match or break Wayne’s
record?

7. Application
You have w 90000 to buy presents for
your friends. You plan to spend w 18000
each. What are the possible numbers of
presents that you can buy?

8. Application
You apply for a job that requires the ability
to type 40 words per minute. You practice
typing on a keyboard for 5 minutes. The
average number of words you type per
minute must be at least meet the job
requirement. What are the possible
number of words that you can type in 5
minutes in order to meet or exceed the job
requirements.