Solving an inequality is different from solving an equation.
You must remember:
When solving an inequality for a variable,
You can simplify any
expression or part of an expression any time
you want.
The
“direction” of the inequality stays the same.
Adding and subtracting: the “direction” stays the same.
Multiplying or dividing by a positive
quantity: the “direction” stays the same.
Multiplying or dividing by a negative
quantity: the “direction” changes.