Q.Write the following compound statement symbolically: x is not an irrational number but is a square of an integer.

A statement that cannot be broken into smaller statements is a simple statement; joining two or more simple statements with a connecting word produces a compound statement. Conjunction, written p ∧ q and read 'p and q', combines two statements with 'and'; it is true only when BOTH p and q are true, and false in every other case. Disjunction, written p ∨ q and read 'p or q', combines two statements with 'or' (in the inclusive sense); it is false only when BOTH p and q are false, and true if at least one of them is true. These two …