If a ⇒ b and b ⇒ c, then the statement a ⇒ c must be true.
What is the implication?
In logic, the implication is a relationship between two assertions in which the second follows logically from the first. It is denoted by '⇒'.
Law of transitivity/Transitive property of implication :
If a ⇒ b and b ⇒ c, then a ⇒ c.
What is the negation?
The opposite of a mathematical statement is called the negation of that statement in Mathematics. It is denoted by '¬'.
How to solve this problem?
Given that a ⇒ b and b ⇒ c. Just check the above transitive property of implication.
Clearly, we can conclude that a ⇒ c.
So, option D. is correct.
i.e. the statement a ⇒ c must be true.
Learn more about the negations here -
https://brainly.com/question/14867604
#SPJ2
