1. GOLDEN RULES SOLVING INEQUALITIES Get rid of the Brackets
– with Brackets
- in Fraction Form
THE GOLDEN RULES of Algebra STILL APPLY
GOLDEN RULES
What you do to the LHS you do to the RHS
Get rid of the Brackets
Get Your Equation on to the ONE LINE

2. SOLVING INEQUALITIES – with Brackets
(Get rid of the brackets)

3. (Add -10 to both sides)

4. SOLVING INEQUALITIES – with Brackets
(Get rid of the brackets)
(Tidy up)
(x-term only on the LHS)

5. Now let’s look at Fraction Forms…

6. SOLVING INEQUALITIES – in Fraction Form
Remember: The aim is to get the inequality on ONE LINE.
If we multiply both sides by 4, that will sort out the 4 on the bottom line of the inequality. Let’s try it. 1
(It’s all on ONE LINE and SOLVED)
What’s missing ?

7. 10 is the Lowest Common Denominator or LCD.
How do we get this on ONE LINE?
10 is the Lowest Common Denominator or LCD. 1 2
(It’s all on ONE LINE)

8. If you can do this one….. 1

9. What you do to the LHS you do to the RHS
GOLDEN RULES
The rules for Solving an Inequality are IDENTICAL to the rules for solving an equation with one exception ….
If you multiply or divide both sides by a negative
number, you must REVERSE the inequality sign