conditional statements

If p and q are two statements, then the compound statement If p then q" is called the compound statement denoted by "p q", p q is false when p is true and q is false..

We know that ..

Conditional and Biconditional Statements - It is already mentioned in earlier classes that compound statements of different propositions can be obtained by conjunction, disjunction and negation of propositions. We just recall these three basic logical connectivities an..

If two simple statements p and q are connected by the connective 'if and only if', then the resulting compound statement is called the biconditional statement..

Identify the inverse of the following conditional statement. "If the points lie in the same line, then they are collinear." => If the points do not lie in the same line, then they are collinear. or If the points do not lie in the same line, then they are not collinear. or If the..

Which of the following statements is not a necessary condition for two parallel line segments? => Two parallel line segments should have the same length. or Two parallel line segments should always be coplanar. or Two parallel line segments must not intersect. or None of the abo..

Avogadro's law states that 'under similar conditions of temperature and pressure, equal volumes of all gases contain equal number of molecules'. For example, if equal volumes of different gases like hydrogen, oxygen and chlorine are held in separate containers under similar conditio..

Write the negation of the conditional statement "If the weather is cold then it will snow" The negation of the given statement is "The weather is cold and it will not sno..

If both p and q have the truth value F, p q has the truth value T(F F = T). It should be noted that in the above example, the simple statement p and q depend on each other. In other words, if the truth value of one depends on the truth value of the other and p q is true, then the ..

Summary - - A sentence is a statement if it is either true or false, but not both. - The truth and falsity of a statement is its truth value. - A truth table indicates the truth values of a number of statements and their compound statements in a compact form...