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

question 126

Short Answer

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 no students are taking.

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Definitions:

Hostages

Individuals who are captured and held as security for the fulfillment of certain demands or conditions by another party.

Traumatized

The state of being emotionally or psychologically injured or impacted by a distressing event or series of events.

Alarm

A warning signal or device designed to alert individuals of potential danger or the need for immediate attention.

Hostage Situation

An event in which individuals are held against their will by an abductor with demands usually pertaining to money, political statements, or safe passage.