Question

question 2
which of the following are true when interpreting the
ot\ statement? select all that apply.
the books cover is not red.
☐ the book does not have a cover.
☐ the books cover is both red and not red.
☐ the books cover does not possess the attribute of being red.
☐ the books color is green.
☐ the books cover involves a color or colors other than red.

Explanation:

• "The book does not have a cover" is false: the original statement assumes the book has a cover, only negating its red color.
• "The book's cover is both red and not red" is false: this violates the law of non-contradiction, a core logical principle.
• "The book's cover does not possess the attribute of being red" is true: this directly restates the logical negation of "the book's cover is red".
• "The book's color is green" is false: "not red" includes all colors besides red, not just green, so this is too narrow.
• "The book's cover involves a color or colors other than red" is true: if the cover is not red, its color(s) must be from the set of non-red colors.

Answer:

• The book's cover does not possess the attribute of being red.
• The book's cover involves a color or colors other than red.