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

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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.∃x∀yT(x,y)2.∃y∀xT(x,y)3.∀x∃yT(x,y)4.¬∃x∃yT(x,y)5.∃x∀y¬T(x,y)6.∀y∃xT(x,y)7.∃y∀x¬T(x,y)8.¬∀x∃yT(x,y)9.¬∃y∀xT(x,y)10.¬∀x∃y¬T(x,y)11.¬∀x¬∀y¬T(x,y)12.∀x∃y¬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.

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