NSW Syllabus Reference: MEX-P1 The Nature of Proof
This NSW syllabus reference for Inequalities focuses on
- use the formal language of proof, including the terms statement, implication, converse, negation and contrapositive (ACMSM024)
- prove simple results involving numbers (ACMSM061)
- use proof by contradiction including proving the irrationality for numbers such as and (ACMSM025, ACMSM063)
- use examples and counter-examples (ACMSM028)
- prove results involving inequalities.
- prove further results involving inequalities by logical use of previously obtained inequalities
Ref: https://educationstandards.nsw.edu.au/