Short Answer TypeState whether the “Or” used in the following statement is “exclusive “or” inclusive. Give reasons for your answer.
Sun rises or Moon sets.
State whether the “Or” used in the following statement is “exclusive “or” inclusive. Give reasons for your answer.
To apply for a driving licence, you should have a ration card or a passport.
State whether the “Or” used in the following statement is “exclusive “or” inclusive. Give reasons for your answer.
All integers are positive or negative.
Identify the type of “Or” used in the following statements and check whether the statements are true or false.
p : A square is a rectangle or a 7-sided polygon.
q : A square is a rectangle.
r : A square is a 7-sided polygon.
Given statement is
p : For every real number x, x is less than x + 1
Here, the quantifier is 'For every'.
This statement means that if R denotes the set of all real numbers, then for all the members x of the set R, x is less than x + 1.
The negation of given statement is
~p : It is not the case that for every real number x, x is less than x + 1 or
~p : There exists a real number x, such that x is not less than x + 1.
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