study 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..

Equations of condition - Study the following equations: a) 4x + 2 = 14 b) x - 7 = 5 - 2x c) 3a - 8 = a + 12 The equation 4x + 2 = 14 is true only when x = 3, Similarly, x - 7 = 5 - 2x is true only when x = 4, and 3a - 8 = a + 23 is true only when a = 10. The two expressions (LHS..

The locus of a point equidistant from two fixed points is the perpendicular bisector of the segment joining the two points. This theorem is proved in two parts. First prove that any point on the locus satisfies the condition..

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

Plants and animals occupy diverse habitats. It becomes practically impossible for a biologist to study each and every plant or animal species in its natural habitat. Hence, over the years attempts have been made to preserve the plant species or animal species in a simulated natural ..

>Mathematical statement of Boyles' law is P 1 V 1 = P 2 V 2 = constant. Charles' law states that pressure remaining constant, the volume of a given mass of a dry gas is directly proportional to the Absolute temperature. Mathematical statement of Charles' law is Absolute zero i.e..