solve conditional statements

If p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implication. It is denoted by p q. p is called the antecedent (or hypothesis). q is called the consequent (or conclusion). Note: p q can be read as (i) If p th..

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 p and q are two propositions, then the compound proposition, "if p then q" is known as conditional statement or implicatio..

Logical Equivalence - Two propositions (simple or compound) are said to be logically equivalent if they have identical truth values. If p is logically equivalent to q, we denote p q. We have already constructed the truth table of (~p) q in earlier class. Recall the same truth table. Truth Table for..

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..

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..

Write an equation for the statement, " 40% of a number is 160" and solve for the number. => 40 90 × c = 160 ; c = 114 or 100 40 × c = 160 ; c = 64 or 140 100 × c = 160 ; c = 114 or 40 100 × c = 160 ; c = 400..

Function Solved Examples - The arrow diagram represents a relation from set A to set B. (i) Represent the relation in roster form. (ii) Is this relation a function? Give reason for your answer. (i) {(1, 2), (2, 4), (5, 2), (3, 10), (4, 10)} (ii) Yes it is a function. Every first element i..

An argument is a statement which assets that a given set of n compound statements p 1 ,p 2 ,..........p n yield another compound statement ..