Question

Which of the following choices uses the most precise mathematical language to describe this statement? Consider the following statement. If the roses are red or yellow, we will plant them in our garden. Your position is that this an exclusive disjunction. Which of the following choices is best used to defend your position to a fellow student? (1 point) Responses This clearly not an inclusive disjunction. This clearly not an inclusive disjunction. It is an exclusive disjunction because neither red nor yellow roses are possible solutions to this problem. It is an exclusive disjunction because neither red nor yellow roses are possible solutions to this problem. Exclusive means both choices are not possible at the same time. Disjunction means the word or compares both parts of the statement. Exclusive means both choices are not possible at the same time. Disjunction means the word or compares both parts of the statement. This is clearly not a conjunction.

Answer 1

The best choice to defend your position that the given statement is an exclusive disjunction is:

"Exclusive means both choices are not possible at the same time. Disjunction means the word or compares both parts of the statement."

This response uses precise mathematical language by clearly defining the terms "exclusive" and "disjunction." It explains the nature of exclusive disjunction, which is that exactly one of the conditions can be true, but not both simultaneously. This helps clarify why the statement about planting red or yellow roses is interpreted as an exclusive disjunction.