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

question 82

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 all students are taking.

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Definitions:

Part-Time Workers

Employees who work fewer hours than a full-time schedule, typically by choice or due to the nature of the job, often resulting in reduced benefits and pay.

Voluntary Part-Timers

Individuals who choose to work part-time hours instead of a full-time schedule for personal reasons, such as flexibility or personal fulfillment.

Involuntary Part-Timers

Workers who are employed less than full-time due to economic reasons, such as a scarcity of full-time positions, rather than by personal choice.

Superordinates

Superordinates are individuals or groups in a higher position of authority or rank in a social hierarchy or structure.