Pre Algebra (Period 2 & 4)

Solving 1 Step Inequalities with Addition & Subtraction 2-9


These are solved just like equations except you have a greater than, less than, greater than or equal, less than or equal sign instead of the equal sign.


Your goal is still the same:

ISOLATE THE VARIABLE

You sitll balance with the INVERSE OPERATION

Your justifications are still almost the same:
IDENTITY AND PROPERTIES OF INEQUALITY



Solving 1 Step Inequalities with Multiplication & Division 2-10

These are solved just like equations except you have a greater than, less than, greater than or equal, less than or equal sign instead of the equal sign.


Your goal is still the same: ISOLATE THE VARIABLE


You sitll balance with the INVERSE OPERATION


Your justifications are still almost the same:
IDENTITY AND PROPERTIES OF INEQUALITY



THERE IS ONE MAJOR EXCEPTION!!!!

When you multiply or divide by a NEGATIVE, 
the symbol CHANGES DIRECTION!


-3y > 9

You need to divide both sides by NEGATIVE 3 so the symbol will switch from > to < in the solution
 y < -3 is the answer

 If you want to understand why:
 3 < 10 correct? 
Now multiply both sides by -1 (mult prop of equality)
 You get -3 < -10, but THAT'S NOT TRUE!!! 
You have to SWITCH THE SYMBOL to make the answer true: -3 > -10