Create three non-empty sets A, B, C, that show this statement is FALSE: For all sets A, B, C: A- (Bn C) = (A– B)^(A- C)

Q: Graph the solution set for each system of linear inequalities. a) y >x- 2 y<x+3 y-10 5- -10 -5 10…

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Q: If A and B can be placed in a one-to-one correspondence, must A=B?

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Q: Which of the following are difference sets?

A: Introduction: A (v, k, λ) difference set is a k-element subset D of V = Z (mod v) in which any…

Q: X* +39

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Q: А Q(1, 1) в Q(2, 0) vyQ(1, y) 3xQ(x, 2)

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Q: Show that (p+ 9) A-g = -(p V q) Clearly indicate which rule was applied at each step.

A: we have to solve given problem:

Q: Does {(1,2), (–2, –4), (3, 6)} span R??

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Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

Q: 8. Let a, b and c be any positive real numbers. Prove that b² + c² a²+b² 2c a² + c² + 2b 2a > a+b+c.

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Q: choose 1 for each question: a) (1, 2, 3 , 4 , 5) b) (increase, decrease, or stay same) c) (up or…

A: The differential equation is y'=dydx=-(y+3)(y-1) has two points when y'=0, or, y=constant. If…

Q: а) За — 5 <7х + 7 -6 –5 –4–3 -2 – 1 1 2 4 5 3

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Q: Suppose that S and T are points on the number line , ST = 17 and S lies at 4, where could be located…

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Q: Given that 5w= (-5, 20), what is w? Select the correct answer below: O (-1,4) O (1, -20) O (-4,1) O…

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Q: What is the cartesian product of sets {1,3,4} and {2,9}?

A: 1, 3, 4  and 2, 9

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: 8. A (5+, 10-) where A-Z 9. Ax [5+, 10-] where A = Z' 10. Ax=(1, 10) where A = (0,1)

A: These are the problems from the Set Theory.

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

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Q: Prove that ord,(a + b) > min(ord,a, ord,b) with equality holds if ord,a ± ord,b.

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Q: Let a = (5, – 3, 6) and b = (5, 3, 4). (a – 6) × (ã + 6) -| X (a +

A: Given: a→=5,-3,6and b→=5,3,4

Q: Write Dual: minZ= 40x, +120x s.t *1+4x2= 4 2x +3x225 Xg.X20. C=40 120]

A: follow second step

Q: draw (A∪B) ∩C’

A: Draw a venn diagram

Q: 1. Determine whether or not the expressions below are wff (well-formed formulae). Explain your…

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Q: 4. Ax (1-22, 1+22) where A - Z 5. Ax(0, 32, 62) where A - Z 6. A, [5, 10- +] where A = Z' 7. Ax (5+,…

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Q: Prove that A-B=An(-B) = (-B) – (-A) = −[(-A) U B]. Also, give three expressions for An B and AU B,…

A: Difference of sets: Given two sets A and B, the difference A−B is defined as the set of all elements…

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =&lt;4,-3&gt; and v =&lt;-2,7&gt;

Q: Which of the following are difference sets? (ii) {0, 1, 3, 5} in Z13,

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Q: actortise the expression: a^(2)+by^(2)+bxy +axy

A: Given expression: ax² + by² + bxy + axy

Q: a) 2+ 1_3 x´ -9 x+3

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Q: Let A=[-1,7[,8={-1,3,10,12} and C={}}. Then (A-B) UC= *

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Q: 4. Simplify and state restrictions 2x x+4 x-2 x-2 a) b) x²-x-20 x² - 5x x² + 9x + 20 x² 12x + 36

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Q: If a, b in R,prove the following: (b): -(-a) = a, (c): (- l )a = -a,

A: R is a ring. For each a∈R there exists an element −a∈R such that a+(−a)=0. −a is called additive…