Acombinationof two or more simple statements is acompound statement. The connectives generally used in mathematics are ‘and’, ‘or’, ‘if ’, ‘if and only if’.In mathematics, like in any language, compound statements are created by combining simpler ones usingconnectives. The truth value of a compound statement is determined by thetruth valueof its smaller components.There are four compound statements:1. ¬p , Not p (i.e. the negation of p)  : Negation2. p ∧ q, p and q                                : Conjunction3. p ∨ q, p or q                                   : Disjunction4. p → q, If p then q                            : ConditionalBeginning with the premise that P (the hypothesis) is true, we create a chain of implications, each of which has previously been proven to be true, ultimately leading to Q. (the conclusion). Imagine the chain has six consequences. As a result, the direct proof technique may be expressedcombinationas follows:P, P ⇒ P1, P1 ⇒ P2, P2 ⇒ P3, P3 ⇒ Q1, Q1 ⇒ Q2, Q2 ⇒ Q.If P and the implications in the previous chain are all true, we must derive that Q is likewise true logically. But, according to thetruth tablefor          P ⇒ Q, knowing that P ⇒ Q is a true statement does not indicate that P or Q are true, just that the inference is true. Recall that P can be false, Q can be true or false, and the inference might be true or false.Learn more aboutCompound Statements:brainly.com/question/29098482#SPJ4Question: What are Compound Statements? Write proof and logic for the statements....

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