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1.1. Language and logic (a) (Vxx Eu) (P(x) = Q(x)). (c) ( Vxx EU) (Q (x) V P(x) ). ( 3x EU) (Q (x) A

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1.1. Language and logic (a) (Vxx Eu) (P(x) = Q(x)). (c) ( Vxx EU) (Q (x) V P(x) ). ( 3x EU) (Q (x) A P(x) ). (d) (3x Eu) (Q(x) A P(x)). (Use an implication in your answer.) 10. Express each statement symbolically, including a quantification of all variables which makes the universe explicit. Negate the symbolic statement, and express the negation in natural language as a useful denial. (a) The inequality x2 - 4x + 3 0. (c) For all real numbers x, x2 + 8x + 12 2 0. (d) For all real numbers x, x2 + 8x + 17 > 0. of the following statements are true? Explain briefly. (While you are to explain clearly.)

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