Show that (-91(pvp)) +n is a tautology (i. e. (91(pvp)) +7=t). (a) (3 points) show the equivalence using truth tables (b) (4 points) show the equivalence by establishing a sequence of equiv- alences. you can only use the equivalences in table 6 and the first equivalence in table 7. show your work by annotating every step.

The statement is a tautology

Step-by-step explanation:

A tautology is a statement that is true for every assignment of truth values to its simple components.

a) A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

We have the statement , which is compound by these statements:

and we are going to use these simple statements to build the truth table.

The last column contains only true values. Therefore, the statement is a tautology.

b) We are going to use the table of logical equivalences as follows:

by the logical equivalence involving conditional statement.

by De Morgan's Law

by the Double negation law

by the Idempotent law

by Associative law

by Negation law

by Domination law

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^