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Aitchison College Academic Resources. 2 Algebra and graphs (continued) £2.6 Inequalities 1 Represent and interpret inequalities, including on anumber fine, 2 Construct, solve and interpret linear inequalities. 3 Represent and interpret linear inequalities in two variables graphically. 4 List inequalities that define a given region, E2.7 Sequences 1 Continue a given number sequence or pattem. 2 Recognise patterns in sequences, induding the term-to-term rule, and relationships between differant sequences. 3 Find and use the nth term of sequences. 29 Notes and examples When representing and interpreting inequalities on a number line: * open crdes should be used to represent strict inequalities (<, >) * closed crdes should be used to represent inclusive inequalities (<, >). ag.-3¢x<1 teeth ececbeeebeeeebeceeboe x 3-2-1 01 Examples include: «© 3x<2x+4 © -3¢3rx-2<7, The following conventions should be used: * broken lines should be used to represent strict inequalities {<, >) * solid lines should be used to represent indusive inequalities (<, >) * shading shoud be used to represent unwanted regions funless otherwise directed in the question). y 2 <1 ¥. fe rel < Vv mT eT Linear programming problems are not induded, Notes and examples Subscript notation may be used, e.g. 7, is the nth tarm of sequance 7: Includes linear, quadratic, cubic and exponential sequences and simple combinations of these.