NSW Y12 Maths - Extension 2 Proof Language of Proof

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Language of Proof - Video - Universal and Existential Quantifiers

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Language of Proof - Video - Negating Universal and Existential Quantifiers

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NSW Syllabus Reference: MEX-P1 The Nature of Proof

This NSW syllabus reference for Language of Proof 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