Inequalities – Key Terms & Definitions
Essential inequalities vocabulary for IGCSE Mathematics (0580). Each term includes a clear definition and example to help you understand and remember key concepts.
inequality
CoreStatement using < > ≤ ≥ symbols
Example
x > 3 means x is greater than 3
greater than
CoreLarger in value, symbol >
Example
5 > 3
less than
CoreSmaller in value, symbol <
Example
2 < 7
solution set
CoreAll values satisfying the inequality
Example
{4, 5, 6, ...} for x > 3 integers
integer solution
CoreWhole number answers to inequality
Example
-2 < x ≤ 3 gives -1, 0, 1, 2, 3
number line
CoreVisual representation of inequality
Example
Open circle for < >, closed for ≤ ≥
region
ExtendedArea on graph satisfying inequalities
Example
Shaded area on coordinate grid
boundary line
ExtendedLine forming edge of region
Example
Solid for ≤ ≥, dashed for < >
strict inequality
CoreDoes not include the boundary value
Example
x < 5 excludes 5
included inequality
CoreIncludes the boundary value
Example
x ≤ 5 includes 5
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How many inequalities terms do I need to know for IGCSE?
This glossary covers 10 key inequalities terms. Focus on understanding definitions and being able to use each term in context during exams.
Are these terms for Core or Extended?
Terms are labelled as Core or Extended. Core students should focus on Core-labelled terms, while Extended students need to know all terms.
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