Proof by Exhaustion (AQA A-Level Mathematics): Quizzes

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Proof by Exhaustion
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What does proof by exhaustion involve?

Considering every possible case

What type of cases must be identified in step 2?

A finite number of distinct cases

What is the first step in proof by exhaustion?

Identify statement & possible cases

What is the final step in proof by exhaustion?

Conclude statement is true for all cases

Which are the single-digit odd numbers?

1, 3, 5, 7, 9

What is the sum of two odd numbers always?

Even

When proving 4747 is prime, check up to which value?

66 (last integer less than 47\sqrt{47})

Why check only up to 47\sqrt{47} when testing if 4747 is prime?

Factors beyond occur in pairs already found

In calculator method, what function tests if 4747 is prime?

f(x)=47xf(x) = \frac{47}{x}

In calculator table mode, what is the start value for xx?

x=2x = 2

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