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Are the following statements equivalent ...

Are the following statements equivalent :
'If the trades do not reduce the price then the government will take action against them '. 'it is not true that the traders do not reduce the prices and government does not take action against them'.

Text Solution

Verified by Experts

Let p be the statement 'Traders do not reduce the prices' and q be the statement 'Government takes action against them'
The first statement in symbolic form is `p to q` and the second statement is `-(p^^~q)`
In order to check the equivalence of the above statements, let us prepare the following truth table

Clearly, `pto q` and `~(p^^~q)` have same truth values of for all the values of p and q .hence, the two statements are equivalent.
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