Unit-I: Sets and Functions
Unit-II: Algebra
Unit-III: Coordinate Geometry
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability

Conditional (Implification)

A proposition of the type “if p then q” is called a conditional. It is also be written as “p is sufficient for q”, “q is necessary for p”, “p only if q”, “q provided that p” and so on.

We write p \to q in symbolically.

Here p is called antecedent (hypothesis) and q is called consequent (conclusion).

“If in \Delta ABC, \angle C is right-angle, then A{B^{2 & }} = B{C^2} + A{C^2}” is an example of conditional statement by the connectives “if….then”.


A conditional p \to q is false only when p is true and q is false. In all other cases it is true.

Truth table

Rendered by QuickLaTeX.com

The above table represents conditional table.

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