Algebra / Linear Inequalities
Linear Inequalities
Parameter questions for inequalities often require identifying the coefficient that produces a stated solution set.
Least you need to know
- Multiplying or dividing by a negative number reverses the inequality sign.
- A stated boundary value can be used to solve for the parameter.
Key notation
- $x>-4$ — All values greater than -4
Worked example
- Isolate the variable in terms of the parameter.
- Match the resulting boundary and inequality direction.
Common mistakes
- The inequality direction can reveal whether the parameter is positive or negative.
How to recognize it
- The problem gives a solution set and asks for an unknown coefficient.
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