E2.6 Inequalities
- Syllabus
- 0580–2028–2029
- Topic
- E2.6
- Level
- Extended
E2.6.1 Represent and interpret inequalities, including on a number line.
- Represent and interpret inequalities, including on a number line.
E2.6.2 Construct, solve and interpret linear inequalities.
- Construct, solve and interpret linear inequalities.
E2.6.3 Represent and interpret linear inequalities in two variables
- Represent and interpret linear inequalities in two variables graphically.
E2.6.4 List inequalities that define a given region
- List inequalities that define a given region. When representing and interpreting inequalities on a number line: • open circles should be used to represent strict inequalities (<, >) • closed circles should be used to represent inclusive inequalities (⩽, ⩾). e.g. – 3 ⩽ x < 1 –/uni202F3– /uni202F2– /uni202F101 x Examples include: • 3x < 2x + 4 • –3 ⩽ 3x – 2 < 7. The following conventions should be used: • broken lines should be used to represent strict inequalities (<, >) • solid lines should be used to represent inclusive inequalities (⩽, ⩾) • shading should be used to represent unwanted regions (unless otherwise directed in the question). e.g. 0 12 0 12 xx yy x < 1 y /uni2A7E
E2.6.5 Linear programming problems are not included.
- Linear programming problems are not included.
Objective notes
5 learning objectivesConceptIGCSE Mathematics Extended