Express the statements using quantifiers. Then form the negation of the statement so that no negation is to the left of a quantifier. Next, express the negation in simple English. "There exists a cat that can swim".  Translate these statements into English, where D(x) is "x is a rabbit"and B(x) is "x barks" and the domain consists of all animals. ∀×(D(x) → B(x)) and catch fish."

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: For "x is in A minus B" give an equivalent statement that uses "x is in A"  and "x is in B"

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Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: Hello! Thank you for the question but as per our honor code we'll able to solve only three sub -…

Q: Evaluate each expression using the values given in the table. - 1 -3 -2 6 7 - 3 1 3 f(x) 4 3 1 -3 -7…

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Q: Given w (u) = 13 + 6u² and g(u) Enter the expression in simplest form. (wg)(u) = = 6u - 13, find…

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Q: Rewrite in the form -8x4 12x³4x² + 4x + 15 2x² + 2x + 2 -8x4 12x³ 4x² + 4x + 15 2x² + 2x + 2 q(x) +…

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Q: You wrote that R has a zero divisor. So cancellation holds. I don't understand that. In the question…

A: Let R be a ring. If there is non zero elements a,b in R such that ab=0 then we say that R has no…

Q: Discrete Math With a domain of people in a room let H(x, y) mean person x has texted person y.…

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Q: Use inverse matrices and the graphing calculator to find the solution of the system of equations.…

A: To Solve: the given system of equations: 2x1+3x2+        +  x4+3x5=0x1+        +2x3  +3x4+x5  =27…

Q: Which of the following is an illustration of one of the associative properties? B 2a(a – 2) = 2a² –…

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Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

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Q: 2. Simplify the following and state restrictions a. x²+2x-80 2x³ - 24x² +64x b. 16a²b³c4 20a7b²c²

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Q: A sentence that can be judged either true or false is called a(n) A sentence that can be judged…

A: In this case, we need to find the correct option for the given statement.

Q: Let P(x) means "x is a freshman" and Q(x) means "x is a math major". Write the statement "Some…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.