suppose the variable x represents students, y represents courses, and T(x, y) means "x is taking y." $$\begin{array}{l}
\text { Match the English statement with all its equivalent symbolic statements in this list: }\
\begin{aligned}
1 . & \exists x \forall y T ( x , y ) & 2 . & \exists y \forall x T ( x , y ) & 3 . & \forall x \exists y T ( x , y ) \
4 . & \neg \exists x \exists y T ( x , y ) & 5 . & \exists x \forall y \neg T ( x , y ) & 6 . & \forall y \exists x T ( x , y ) \
7 . & \exists y \forall x \neg T ( x , y ) & 8 . & \neg \forall x \exists y T ( x , y ) & 9 . & \neg \exists y \forall x T ( x , y ) \
10 . & \neg \forall x \exists y \neg T ( x , y ) & 11 . & \neg \forall x \neg \forall y \neg T ( x , y ) & 12 . & \forall x \exists y \neg T ( x , y )
\end{aligned}
\end{array}$$
-There is a course that all students are taking.

Question

Quizplus · Accepted Answer

The Answer of suppose the variable x represents students, y represents courses, and T(x, y) means "x is taking y." $$\begin{array}{l}
\text { Match the English statement with all its equivalent symbolic statements in this list: }\
\begin{aligned}
1 . & \exists x \forall y T ( x , y ) & 2 . & \exists y \forall x T ( x , y ) & 3 . & \forall x \exists y T ( x , y ) \
4 . & \neg \exists x \exists y T ( x , y ) & 5 . & \exists x \forall y \neg T ( x , y ) & 6 . & \forall y \exists x T ( x , y ) \
7 . & \exists y \forall x \neg T ( x , y ) & 8 . & \neg \forall x \exists y T ( x , y ) & 9 . & \neg \exists y \forall x T ( x , y ) \
10 . & \neg \forall x \exists y \neg T ( x , y ) & 11 . & \neg \forall x \neg \forall y \neg T ( x , y ) & 12 . & \forall x \exists y \neg T ( x , y )
\end{aligned}
\end{array}$$
-There is a course that all students are taking.

Suppose the Variable X Represents Students, Y Represents Courses, and T(x