Question

Write the disjunction of the statement:
I love tea and coffee, I don’t like milk.
${\text{A}}{\text{. I love tea and coffee or I don't like milk}} \\\ {\text{B}}{\text{. I love tea and coffee and I don't like milk}} \\\ {\text{C}}{\text{. If love tea and coffee then I don't like milk}} \\\ {\text{D}}{\text{. I love tea and coffee, only if I don't like milk}} \\\$

Answer 1

In order to write the disjunction of the given statement, we first study the definition of disjunction of a function. And then we try to determine which one is the correct expression of disjunction of the given statement from the options given.

Complete step-by-step answer:
Given Data,
“I love tea and coffee, I don’t like milk”
In logical mathematics, Disjunction is defined as the relation of two distinct alternatives (or functions).
And these two events are joined by the function “OR”.
I.e., if two functions A and B are said to be in disjunction if the relation between A and B is “OR” which is denoted by A V B, read as “A OR B”.

The statement is “I love tea and coffee, I don’t like milk”.
Let us break it into two statements, where
Now let statement A be "I love tea and coffee" and statement B be "I don't like milk."
Therefore the disjunction of A and B is "A or B", i.e.
“I love tea and coffee or I don’t like milk”

So, the correct answer is “Option A”.

Note: In order to solve this type of questions the key is to know the concept of the disjunction function between two elements. We use its property to find the answer.
Disjunction is the relation between two distinct alternatives, expressed using the ‘or’ function. ‘or’ is the truth-functional operator of disjunction, also known as alternation; the ‘or’ of a set of operands is true if and only if one or more of its operands is true.