Logic Symbols and Statements

Front

What does the symbol ∧ represent in logic?

Back

The symbol ∧ means 'and'.

Front

Translate the statement p ∧ ~q into a sentence where P: The sun is shining. Q: It is not hot outside.

Back

The sun is shining and it is not hot outside.

Front

Translate the logical statement p → q where p: There is a football game on Friday. q: Cheerleaders are cool.

Back

If there is a football game on Friday, then cheerleaders are cool.

Front

What does the symbol ∨ represent in logic?

Back

The symbol ∨ means 'or'.

Front

Translate the statement g ∨ h where g: The girl runs. h: The rabbit hops.

Back

The girl runs or the rabbit hops.

Front

What does the symbol ~ represent in logic?

Back

The symbol ~ means 'not'.

Front

What is the meaning of the logical statement p ↔ q?

Back

The statement p ↔ q means 'p if and only if q'.

Front

If p: It is raining and q: I will take an umbrella, what does p → q mean?

Back

If it is raining, then I will take an umbrella.

Front

What is the result of the logical expression p ∧ q if p is true and q is false?

Back

The result is false.

Front

What is the result of the logical expression p ∨ q if p is false and q is true?

Back

The result is true.