Can someone help me translate this statement in symbols? And constuct a truth table.

Question

The statement is Tanisha does not own a convertible or Joan does not own a Volvo.

Let p: Tanisha owns a convertible. p: Joan owns a Volvo.

 

Please help me translate this statement in symbols and construct a truth table.

Answer 1

Truth table

	TRUE	FALSE
Tanisha owns a convertible	No (0)	Yes (1)
Joan owns a Volvo	No (0)	Yes (1)

The statement "Tanisha does not own a convertible or Joan does not own a Volvo" is equivalent to adding the numbers in the boxes. If the result is greater than zero, the statement is demonstrated. So the only combination that does not support the statement is 0+0=0. That is, "Tanisha owns a convertible; Joan owns a Volvo". In all other cases the result is 1 or 2: "Tanisha owns a convertible; Joan does not own a Volvo" is 0+1=1; etc.