Question

In a disjunction, even  if one of the statements is false, the whole disjunction is still ______.


a.

 Both true and false

b.

Negated

c.

False

d.

True​

Answer 1

Answer:

option a is the correct answer

hope it helps you a lot

Answer 2

In a disjunction, even if one of the statements is false, the whole disjunction is still (d) true.

Explanation:

• A logical connective that corresponds to natural language expressions (or) is called disjunction and it is denoted as ∨.
• The symbol ∨ is called as infix operator.
• Consider the statements as A and B, the disjunction of A and B is denoted as A∨B.
• In disjunction, if the statements of both A and B are false, then the whole disjunction is false.
• If the statement A is false, then the disjunction will be true.
• If the statement B is false, the disjunction will be true.
• If both A and B are true, then the disjunction will be true.
• Hence, the disjunction will be false, if both statements are false or else it will be true.