Determine which of these relations are reflexive. The variables x, y, x', y' represent integers. A. x∼yx∼y if and only if xy≥0xy≥0 \). B. x∼yx∼y if and only if x−yx−y is positive. C. x∼yx∼y if and only if x+yx+y is even. D. x∼yx∼y if and only if xyxy is positive. E. x∼yx∼y if and only if x+yx+y is odd.

Q: 35. Find a common domain for the variables x, y, z, and w for which the statement VxVy\zw((wx (w #y)…

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Q: Define two relations R1 and R2 on set positive integers. R, = {(a,b)|a > b} and R2= {(a,b)|a? = b }.…

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Q: 26) If x, y, u, v are variables connected by the relations 1 1 x? =au? +bv2, y² =au² –bv² where a…

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Q: Scanned.47thDetermine if the relation r CS CamScannegymmetric, antisymmetric or neither

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Q: 1. Suppose that we have the binary relations R1 C A× B, R2 C Bx C, and R3 C C x D. Then the…

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Q: Which of the following are true statements? State why. 2 E {1,2,3} b. {2} € {1,2,3} c. 2 C {1,2,3}…

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Q: Let an = an-1+ an-2 with ao = 0, a1 = 1. Show that an is even iff ( if and only if) n is a multiple…

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Q: 8. Which of the following number lines depicts the solution to - (x- 5)(x- 8) > 0? + R а. 1 3 5 7 9…

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Q: Activity 7.2. Even if we omit the negatives, the real numbers fail to satisfy the well-ordering…

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Q: 4. R= {(x,y) x + y ≤ 8} reflexive irreflexive symmetric asymmetric anti- symmetric 1. 2. 3. 4. Which…

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Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

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Q: 11. If |A| = 3, how many relations are there on A?

A: Given A=3

Q: Which of the following relations contain each of the following pairs (1, 1), (1, 2), (3, 2), and…

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Q: 11. Let A = {1,2,3,4} and B = {A, B, C, D, E}. Consider the following relations and state whether…

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Q: 3. Let A = {-1, –3, –5}, B = {a, B, 7}, C = {x, y, z}. Consider the relations R from A to B and S…

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Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

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Q: Find the power set of A= {{ }, 1, {b}, 4 } and write how many relations can be defined on A

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Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: 3. Show that all integers n ≥ 2 can be expressed as 2x + 3y for some nonnegative integers r and y.

A: Mathematical induction is a proof technique used in mathematics to establish the truth of a…

Q: Determine the union X ∪ Y. Express them in interval notation. X = {x/x>-17 } and Y = {x/x<equal-10…

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Q: 6. If -2 determine all values of x and y for which A= A.

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Q: T T T F 29. If x and y are real numbers and x² < y² then x < y. F 30. Let A, B, C and D be sets with…

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Q: Exercise 8. [1, 2.2.10] Show that F₂Q1v₂ [c] iff a Vv₂Qcv₂ Here Q is a two-place predicate symbol…

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Q: Determine the union X ∪ Y. Express them in interval notation. X = {x/x>-17 } and Y = {x/x<equal-10…

A: Introduction: The number of elements carried by the operation and executing the results of a…

Q: 3. Let R1 = {(1, 2), (2, 3), (3, 4)} and R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3,…

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Q: 13. 15-16) Which of the following expressions is equal to (2 Points) (4y + 1)(16y2 – 4y + 1)? -

A: