Year 12/AS Pure Chapter 7.4 (Algebraic Methods)

This lesson directly follows on from the previous lesson (7.3) and continues to explores methods of mathematical proof. Here, we focus on two particular methods of proof: 𝒑𝒓𝒐𝒐𝒇 𝒃𝒚 𝒆𝒙𝒉𝒂𝒖𝒔𝒕𝒊𝒐𝒏 and 𝒑𝒓𝒐𝒐𝒇 𝒃𝒚 𝒅𝒆𝒅𝒖𝒄𝒕𝒊𝒐𝒏. This lesson is meant as preparation for Exercise 7E, page 152 of the Pearson Edexcel Pure Mathematics Year 1/AS Textbook: bit.ly/PuretextbookYear1 Introduction: 00:00 Solution to Warm-Up Q1: 1:03 Solution to Warm-Up Q2: 2:39 Solution to Warm-Up Q3: 3:49 Solution to Warm-Up Q4: 5:05 Introduction to Proof by Exhaustion: 6:46 Introduction to Proof by Deduction: 9:44 PROOF BY EXHAUSTION Worked Example 1: 12:44 Worked Example 2: 16:55 PROOF BY DEDUCTION Worked Example 3: 29:47 Worked Example 4: 34:17 Worked Example 5: 39:01 Worked Example 6: 44:49 Suggested exercises: 52:05