Introduction solving conditional statements:

Let P and Q be two logical Conditional statements while solving. While solving conditional statement, the statement P `|->` Q is called a conditional statement. In logic, the relationship“If …then” between two conditional statements, the first statement is the hypothesis and the second statement is the conclusion in solving conditional statement. If P is, the second conditional statement is the conclusion. If P is, the implication if P, then Q   written     as `P ``|->` Q and read as p implies q.let us see problems for solving conditional statements. I like to share this absolute and conditional convergence with you all through my article.


Solving conditional statements:


Let us see the truth table for conditional statement

          P              Q              P `|->` Q

1.       T              T                 T

2.       T              F                 F

3.       F              T                 T

4.       F              F                 T

Let us see how to solve the conditional statements and prove the above statements are true

Example 1 on conditional statements:

Let us take an example and prove the condition if p is true, q is also true then p `|->` q proves true.

P:  If a figure given is a square

Q: then it has four side

Here in P: it is clearly given the figure is a square then Q: definitely, it has four sides

Both P and Q is true then the result, P `|->` Q  is true

Example 2 on conditional statements :

Let us take an example and prove the condition if p is true, q is not true then p `|->` q proves false.

P:  If a figure has four side,

Q: then it is square

Here in P: Given the figure, have four sides then Q: given it is square though it may be rectangle, which is of four sides.

P is true, Q is proved false then the result, P`->` Q  is false


Solving some more examples on conditional statements:


Example 3 on conditional statements :

Let us take an example and prove the condition if p is false, q is true then p`|->` q proves true.

P:  If it is not a weekday,

Q: It is Friday

Here in P: if we consider it is not a weekday as false statement, Q: definitely, it is weekday given Friday is weekday

P is false; Q proved true then the result, P `|->` Q is true

Example 4 on conditional statements:

Let us take an example and prove the condition if p is false, q is false then p `|->` q proves true.

P:  If you are not paid,

Q: then you do not work

Here consider if both the given statement is falsely given, the real statement is

“If you do not work, you do not get paid”

P is false; Q is also false then the result, P `->` Q is true