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Linear Inequalities (CIE AS Maths: Pure 1)
Revision Note
Linear Inequalities
Linear inequalities
- Similar to equations but answers take a range of values
- Linear means there will be no terms other than degree 1
- no squared terms or higher powers, no fractional or negative powers
- Number line diagrams are often used
Interval notation
- Use of square [] and round () brackets
- [ or ] mean included
- ( or ) mean excluded
- (4,8] means 4 < x < 8
- Note ∞ always uses ( or )
How do I solve linear inequalities?
- treat as equations but
- avoid multiplying or dividing by a negative
- if unavoidable, “flip” the inequality sign so < → >, ≥ → ≤, etc
- do rearrange to make the x term positive
Worked example
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