Symbolize the following statement. Some people are lonely and sad.

Question

Quizplus · Accepted Answer

The statement says there are some people who are lonely and sad. So, we need to have a statement that says there are some "P" (people) who are "L" (lonely) and "S" (sad). Option C correctly symbolizes this statement by saying that there exist some "S" such that there exists some "x" who is "P" (people) and lonely "L" and sad "S". Options A and B incorrectly use →, which suggests that being lonely and sad is a consequence of being a person. Option D uses the negation symbol, which suggests that there are no people who are both lonely and sad, which contradicts the original statement. Therefore, the best choice is C.

Symbolize the Following Statement ⊃\supset⊃ (Lx • Sx)] B)(x)[Px ⊃\supset⊃ ~(Lx • Sx)] C)

Symbolize the Following Statement $\supset$ (Lx • Sx)]
B)(x)[Px $\supset$ ~(Lx • Sx)]
C)