Symbolize the following statement. Joan loves someone or someone loves Joan.

Question

Quizplus · Accepted Answer

The statement can be rewritten as "there exists someone such that Joan loves them or there exists someone who loves Joan." This can be symbolized using existential quantifiers and disjunction. Let J(x) be "x is loved by Joan," then the statement can be written as 
(∃x) J(x) ∨ (∃y) J(y).
Using the definition of J(x), this can be rewritten as 
(∃x) L(j,x) ∨ (∃y) L(y,j).
Choice D is the only option that represents this statement.

Symbolize the Following Statement ∃\exists∃ X)Ljx ⋁\bigvee⋁ ∃\exists∃ Y)Lyh D) ∃\exists∃ X)Ljx ⋁\bigvee⋁ ∃\exists∃

Symbolize the Following Statement $\exists$ X)Ljx $\bigvee$ $\exists$ Y)Lyh
D) $\exists$ X)Ljx $\bigvee$ $\exists$