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  • Find the result of the statement below  If 3 is greater than 5 , then 5 is lesser than 3 Option: 1 "5 is lesser than 3 &quot

Find the result of the statement below 

If 3 is greater than 5 , then 5 is lesser than 3 

Option: 1

"5 is lesser than 3 " is always true


Option: 2

"5 is lesser than 3 " is true when "3 is greater than 5"


Option: 3

"3 is greater than 5" is same as "5 is lesser than 3"


Option: 4

none of these 


Answers (1)

best_answer

 

 

Truth Table -

Conditional Statement

If p and q are any two statements, then the compound statement “if p then q” formed by joining p and q by a connective ‘if then’ is called a conditional statement or an implication and is written in symbolic form as p → q or p ⇒ q. 

                      

                      r : If you are born in some country, then you are a citizen of that country

                     p : you are born in some country.

                     q : you are a citizen of that country.

Then the sentence “if p then q” says that in the event if p is true, then q must be true.

 

The conditional statement p ⇒ q can be expressed in several different ways. Some of the common expressions are 

  1. p implies q

  2. p is a sufficient condition for q

  3.  p only if q

  4. q is necessary for p.

  5. ∼q implies ∼p.

Truth Table:

\begin{array}{|c|c|c|}\hline \mathrm{\;\;\;\;\;}p\mathrm{\;\;\;\;\;}&\mathrm{\;\;\;\;\;}q\mathrm{\;\;\;\;\;} &\mathrm{\;\;\;}p\rightarrow q\mathrm{\;\;} \\ \hline \mathrm{T}& \mathrm{T} & \mathrm{T}\\ \hline \mathrm{T}&\mathrm{F}& \mathrm{F} \\ \hline \mathrm{F}&\mathrm{T}& \mathrm{T}\\\hline \mathrm{F}&\mathrm{F} & \mathrm{T}\\ \hline\end{array}

-

If p then q means q is necessary for p 

 

Posted by

Ritika Jonwal

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