Review 2.1 to 2.4 Practice

Front

What is a counterexample?

Back

A counterexample is an example that disproves a conjecture or statement. For instance, the number 2 is a counterexample to the statement 'All prime numbers are odd.'

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What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If P, then Q' is 'If not P, then not Q.'

Front

Is the inverse of 'If you are ten years old, then you cannot drive' true or false?

Back

The inverse is 'If you are not ten years old, then you can drive,' which is FALSE.

Front

What is the negation of a statement?

Back

The negation of a statement is the opposite of that statement. For example, the negation of 'Shelly won the marathon' is 'Shelly did not win the marathon.'

Front

What is the Transitive Property of Equality?

Back

The Transitive Property of Equality states that if a = b and b = c, then a = c.

Front

What is the symmetric property of equality?

Back

The Symmetric Property of Equality states that if a = b, then b = a.

Front

What is the addition property of equality?

Back

The Addition Property of Equality states that if a = b, then a + c = b + c for any c.

Front

What is the multiplication property of equality?

Back

The Multiplication Property of Equality states that if a = b, then a * c = b * c for any c.

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What is a conjecture?

Back

A conjecture is a statement that is believed to be true but has not yet been proven.