Question

If A denotes “it is cloudy” and B denotes “it will rain”, then express the following

statements in symbolic form:

[1]

(i) If it does not rain then it is not cloudy

(ii) If it is raining then it is cloudy​

Answer 1

The symbolic form for the above question is as follows:

Explanation:

1. (~B->~A)
2. (B->A)

Detailed Explanation:

• The ('->') is a symbol for "if and only if" clause and (~) is a symbol for negation.  
• The first statement states the negation of B if and only if the negation of A. So it is presented by the (~B->~A).
• The second statement states the B if and only if the A. So it is presented by (B->A).
• So when any user wants to write a symbolic form for any statement, then he can do it with the help of symbolic logic. This is a chapter where the preposition is written in the form of symbols, and there are specified symbols for any clause.

Learn More:

• symbolic logic: https://brainly.in/question/4822159