Mathematical proof - A'Level Maths Boost

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Direct proof:
To use direct proof you assume that a statement P is true.
Use P to show that anpther statement Q, must be true.
Statements that can be assumed to be true are sometimes known as axioms

Proof by exhaustion:
To use proof by exhaustion you list a set of cases that exhausts all possibilities and show that the statement is true for every case.

Argument and proof

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To use proof by exhaustion you:

Assume that a Statement , P, is true.

Use P to show that another statement, Q, must be true

List a set of cases that exhausts all possibilities

Show the statement is true in each and every case

2 / 3

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To use direct proof you:

Show the statement is true in each and every case

List a set of cases that exhausts all possibilities

Use P to show that another statement, Q, must be true

Assume that a Statement , P, is true.

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To use proof you assume that a statement P is .
Use P to show that another Q, must be
Statements that can be assumed to be true are sometimes known as .

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