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High School Mathematics - 2
14.3 Conditional Statements

We frequently come across statements like:
"If p then q" are called conditional statements and denoted as p=>q and read as p implies q.
Truth table for a conditional
p qp => q

A statement of the form "p if and only if q" are called biconditional statements and are denoted by p<=>q.
Biconditional Statement
Truth table for a biconditional
p qp <=> q

Regarding the truth values of p=>q and p<=>q, we have

  1. The conditional p=>q is false only if p is true and q is false. Accordingly, if p is false, then p=>q is true regardless of the truth value of q.
  2. The biconditional p<=>q is true whenever p and q have the same truth values, otherwise it is false.

Directions: Answer the following.
Q 1: Let p: I will pass; q: Exam is easy, translate into symbolic form, The exam is easy if and only if i pass.

Q 2: Let p: I will pass; q: Exam is easy, translate into symbolic form, If the exam is easy, then i will not pass.

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Question 4: This question is available to subscribers only!

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