Match the English Statement with All Its Equivalent Symbolic Statements $\exists x \forall y T ( x , y )$

question 43

Short Answer

Match the English statement with all its equivalent symbolic statements in this list: 1. $\exists x \forall y T ( x , y )$$\quad$$\quad$$\quad$ 2. $\exists y \forall x T ( x , y )$$\quad$$\quad$$\quad$ 3. $\forall x \exists y T ( x , y )$
4. $\neg \exists x \exists y T ( x , y )$$\quad$$\quad$ 5. $\exists x \forall y \neg T ( x , y )$$\quad$$\quad$$\quad$ 6. $\forall y \exists x T ( x , y )$
7. $\exists y \forall x \neg T ( x , y )$$\quad$$\quad$ 8. $\neg \forall x \exists y T ( x , y )$$\quad$$\quad$$\quad$ 9. $\neg \exists y \forall x T ( x , y )$
10. $\neg \forall x \exists y \neg T ( x , y )$$\quad$ 11. $\neg \forall x \neg \forall y \neg T ( x , y )$$\quad$ 12. $\forall x \exists y \neg T ( x , y )$
-Some students are taking no courses.

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Definitions:

Delivery Charge

A fee charged by a seller to cover the cost of delivering goods to a buyer's location.

Valuation Rate

The interest rate or discount rate used in determining the present value of future cash flows or in appraising the value of an asset.

Market Value

The current price at which an asset or service can be bought or sold in a competitive marketplace.

Assessed Valuation

The dollar value assigned to a property for purposes of measuring applicable taxes, determined by a public tax assessor.