Disproof by Counter Example (Edexcel A-Level Mathematics): Flashcards
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12 cards from this deck
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Practise the cards
12 cards from this deck
Effect of one counterexample on an argument
Effect of one counterexample on an argument
Collapses/disproves it
No. of counterexamples needed to disprove a statement
No. of counterexamples needed to disprove a statement
One
Type of statement disproved by counterexample
Type of statement disproved by counterexample
General statements (using 'all', 'every', 'for every')
First step in disproof by counterexample method
First step in disproof by counterexample method
Understand the statement
What to find to disprove a statement
What to find to disprove a statement
One example that does NOT satisfy the statement
Counterexample: multiple of 2 but not 4
Counterexample: multiple of 2 but not 4
Value of
Value of
Why is not prime
Why is not prime
(composite)
Statement: always prime for
Statement: always prime for
False, counterexample: gives (not prime)
Counterexample to 'all prime numbers are odd'
Counterexample to 'all prime numbers are odd'
(prime but even)
Why is a prime number
Why is a prime number
Only divisors are and
After finding a counterexample, what to conclude
After finding a counterexample, what to conclude
The statement is false
