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

question 100

Short Answer

suppose the variable x represents students, y represents courses, and T(x, y) means "x is taking y."  Match the English statement with all its equivalent symbolic statements in this list: 1.xyT(x,y)2.yxT(x,y)3.xyT(x,y)4.¬xyT(x,y)5.xy¬T(x,y)6.yxT(x,y)7.yx¬T(x,y)8.¬xyT(x,y)9.¬yxT(x,y)10.¬xy¬T(x,y)11.¬x¬y¬T(x,y)12.xy¬T(x,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}
-Some student is taking every course.


Definitions:

Judicial Review

The power of courts to assess the constitutionality of laws and government actions.

Article III

The section of the United States Constitution that establishes the judicial branch, outlining the powers and responsibilities of the federal court system.

Judicial Restraint

A philosophy of law where judges limit their own power, adhere closely to precedent, and defer to legislation made by the legislative branch.

Constitutional Interpretation

Constitutional interpretation involves the process by which courts, particularly the Supreme Court, determine the meaning and application of the Constitution's provisions in cases that come before them.

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