true biconditional statement

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

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..

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 and their truth table and subsequently we shall learn about condi..

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..

Which of the statements is true? => An equilateral triangle has three angles equal. or An equilateral triangle has only two angles equal. or An equilateral triangle has none of angles equal. or One angle in an equilateral triangle is equal to 90°...

Which of the statements is true? => 569,843 is less than 569,483 or 569,483 is greater than 569,348 or 569,348 is greater than 569,843 or 569,483 is less than 569,384..

Which of the statements is not true? => 10 × 6 = 6 × 10 or (8 - 6) × 5 = (8 × 5) - (6 × 5) or (12 × 10) - 12 = 12 - 12 × 12 - 10 or 7 × 8 + 7 × 9 = 7 × (8 + 9)..

Which statement is true? => The solution set for the inequality 4 x 2 + 31 x + 21 > 0 is: { x : x < 6 or x > - 3 4 } or If ( x - 1)( x - 2) < 0, then ( x - 1) > 0 and ( x - 2) > 0 or x 2 3 < ( 2 3 ) x + 5 and - 2 x 2 + 4 x > - 30 give the same solution se..

Some sentences depend on a variable for its truth value (i.e., true or false). e.g., "2+4+6+2n=2n" is true for n=1 but false for n=2, n=3 etc. As the above sentence is definitely true or definitely false for a particular positive integral value of n, ..

Which of the following statements is true? => All isosceles triangles are equilateral triangles or Scalene right triangles are equilateral triangles or All equilateral triangles are isosceles triangles or None of the above..