Algebra (Periods 1 & 4)

Solving Multi- Step Inequalities 5-3

Again you will use your equation skills

1.      Do Distributive Property first (if necessary) do it carefully

2.      Combine like terms on each side of the “WALL”

3.      “JUMP” the variables to one side of the wall—that is get all the variables on one side of the inequality by using the Additive Inverse Property (add or subtract using the opposite sign of the variable term, constants second by adding or subtracting

4.      Do it just like a 2 step or 1 step equation but remember;  FLIP THE SYMBOL if you multiply or divide by a NEGATIVE to balance

5.      If you end up with the variable on the right side, SWITCH the SIDES and the SYMBOL

REMINDERS:

Set builder notation

Get familiar with the following notation

{x│ x≥ 5} is read “ x SUCH THAT c is greater than or equal to 5”

Checking your solutions is an important set. Many students skip this step! Checking the solutions is especially important with inequalities because the direction of the inequality sign is often changed when writing solutions in set builder notation.