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Q: State the converse the contrapositive and the inverse what conditional statement If the television is on you will not do homework?

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This would be logically equivalent to the conditional you started with.

if the statement is : if p then q converse: if q then p inverse: if not p then not q contrapositive: if not q then not

No, the inverse is not the negation of the converse. Actually, that is contrapositive you are referring to. The inverse is the negation of the conditional statement. For instance:P → Q~P → ~Q where ~ is the negation symbol of the sentence symbols.

Switching the hypothesis and conclusion of a conditional statement.

true

Related questions

A conditional statement is true if, and only if, its contrapositive is true.

The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.

conditional and contrapositive + converse and inverse

This would be logically equivalent to the conditional you started with.

A biconditional is the conjunction of a conditional statement and its converse.

A biconditional is the conjunction of a conditional statement and its converse.

conditional and contrapositive + converse and inverse

conditional and contrapositive + converse and inverse

conditional and contrapositive + converse and inverse

if the statement is : if p then q converse: if q then p inverse: if not p then not q contrapositive: if not q then not

No, the inverse is not the negation of the converse. Actually, that is contrapositive you are referring to. The inverse is the negation of the conditional statement. For instance:P → Q~P → ~Q where ~ is the negation symbol of the sentence symbols.

It is the biconditional.

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