Algebra 3

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7.1 Inequalities

This section deals with single and double linear inequalities.

7.1 Examples

7.1 Q. 12

7.1 Q. 13

Solution

Solution

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7.2 Quadratic Inequalities

This section looks at quadratic and rational inequalities

7.2 Examples

Solution

Solution

Solution

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7.3 Modulus

7.3 Example 1

7.3 Example 2

7.3 Example 3

Solution

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7.4 Mathematical Proof

Simple Example of Direct Proof

Simple proof by contradiction

Proof root is irrational by contradiction (this is mentioned in the syllabus!)

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7.5 Abstract Inequality Proofs

tt6_7.5_inequality_proofs_24-1-2014.pdf
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tt6_7.5_inequality_proofs_27-1-2014.pdf
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tt6_7.5_inequality_proofs_28-1-2014.pdf
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7.6 Indices

Rules of Indices

Log of a Number

Solution

Solution

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7.7 Exponential Equations

tt6_7.7_exponential_equations_28-1-2014.pdf
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7.8 Exponential Functions

tt6_7.8_exponential_functions_30-1-2014.pdf
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7.9 Log Functions

tt6_7.9_log_functions_31-1-2014.pdf
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7.10 & 7.11 Graphs of Exponential & Log Functions

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7.12 Proof by Induction

proof-by-induction.pdf
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tt6_7.12_induction_2-5-2014.pdf
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proof_by_induction_7-5-2014.pdf
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proof of demoivre's thm.pdf
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