if p and q represent the statement '3>2' and '7 not equal to 4' respectively, than write statement' p and q','p or q' and negation of p
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As given in the question, the statements are as follows:
p : 3>2
q : 7 not equal to 4
'p and q' is simply the conjunction of the two statements, i.e. adding 'and' between the two statements. It is also represented as p∧q.
Therefore, p∧q is given by " 3>2 and 7 not equal to 4".
'p or q' is the disjunction of the two statements, i.e. adding 'or' between the two statements. It is represented by p∨q.
Hence, p∨q is " 3>2 or 7 not equal to 4".
Negation of a statement usually delivers the opposite meaning associated with the given statement. It can usually be achieved by adding 'not' at a proper place within the statement. It is represented as ~p.
The negation of p is " 3 is not greater than 2" or "It is false to say that 3 is greater than 2".
Note that changing the meaning of the statement is usually avoided, i.e. "3 is lesser than 2" is not considered to be the negation of p.
p : 3>2
q : 7 not equal to 4
'p and q' is simply the conjunction of the two statements, i.e. adding 'and' between the two statements. It is also represented as p∧q.
Therefore, p∧q is given by " 3>2 and 7 not equal to 4".
'p or q' is the disjunction of the two statements, i.e. adding 'or' between the two statements. It is represented by p∨q.
Hence, p∨q is " 3>2 or 7 not equal to 4".
Negation of a statement usually delivers the opposite meaning associated with the given statement. It can usually be achieved by adding 'not' at a proper place within the statement. It is represented as ~p.
The negation of p is " 3 is not greater than 2" or "It is false to say that 3 is greater than 2".
Note that changing the meaning of the statement is usually avoided, i.e. "3 is lesser than 2" is not considered to be the negation of p.
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