A Note Do not think that a statement with “And” is always a compound statement as shown in the above example. Therefore, the word “And” is not used as a connective. . .
The word “Or” Let us look at the following statement. p: Two lines in a plane either intersect at one point or they are parallel. We know that this is a true statement. What does this mean?
This means that if two lines in a plane intersect, then they are not parallel. Alternatively, if the two lines are not parallel, then they intersect at a point. That is this statement is true in both the situations. In order to understand statements with “Or” we first notice that the word “Or” is used in two ways in English language.
Let us first look at the following statement. p: An ice cream or pepsi is available with a Thali in a restaurant. This means that a person who does not want ice cream can have a pepsi along with Thali or one does not want pepsi can have an ice cream along with Thali . That is, who do not want a pepsi can have an ice cream.
A person cannot have both ice cream and pepsi. This is called an exclusive “Or” . Here is another statement. A student who has taken biology or chemistry can apply for M.Sc.
microbiology programme. Here we mean that the students who have taken both biology and chemistry can apply for the microbiology programme, as well as the students who have taken only one of these subjects. In this case, we are using inclusive “Or”. It is important to note the difference between these two ways because we require this when we check whether the statement is true or not.
MATHEMATICS Let us look at an example. Example For each of the following statements, determine whether an inclusive “Or” or exclusive “Or” is used. Give reasons for your answer. To enter a country, you need a passport or a voter registration card.
The school is closed if it is a holiday