If A = {x: x < 5,x € N}and B = {y: y 2 + y – 2 = 0,y € R}, then which of the following is true? A. |A| |B| B. JA| < |B]| C. |A| > |B| D. None of these {x: x 2 + 11x + 30 = 0,x E N}, then C is a/an? A. Empty set B. Finite set C. Infinite set If C =

Q: The number of units in Z23[x] is O None 30 28 22

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Q: (3) Let X € D4 such that X ‡ R270- Find all Y € D4 such that XY2 = R90. Explain your reasoning.

A: Given:  X, and Y are the elements of the dihedral group D4 such that X≠R270 and XY2=R90. To Find :…

Q: 5. A norm al distribution has a mean of 26 and a standard deviation ốf 4. What Is the probability…

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Q: Then A-1 If A = 5 1 -16 -3 0 0 0 -1 0 w 00+ 4 -13

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Q: 74. Prove that for any real numbers a and b, |b − a|=|a − b|.

A: Given; a and b are any real numbers Consider, L.H.S=b-aWe can write it as,=b+-a=-1-b+a=-1a-b…

Q: Let x be a real number. Which of the following is the same as P(Z x) c) P(Z ≤ -x) d. none of the…

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Q: [2 3 -1] 4. Suppose 3] 2 |M = |X z. Find M, [X y z],and[a b c]. Explain your reasoning. y La C

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Q: Determine whether the following statements are True or False: a - For all relations R and S, ROS=SOR…

A: We solve this using counter examples .

Q: Ex: Let X₂ [1,2,3,4,5]. I. [0,X, [1], 82.3, 81.23], Y. [3,4,5,6,73 andl T₁: [0, X, [4], [4,633 if A:…

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Q: If || v || = 2, what is || - 4v || ?

A: From the given data:

Q: 5. (a) Without evaluating them, determine which of the following are equal, and give reasons: | r|2|…

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Q: Show that if x > 0 and |x² – 9| < 2, then |x - 3| < 1.

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Q: Given Q(x, y) means "x and y are real numbers such that x + 2y = 5", evaluate Vx3y Q(x, y) O True O…

A: Given that, Q(x, y) means "x and y are real numbers such that x+2y=5",

Q: 54. Both of the following statements have the set of positive real numbers as their set of meanings.…

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Q: THE EVALUATE メLt X11 e 3.

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Q: Is that a < or a c?

A: It is a less than symbol "&lt;" . Kindly find the clear solution of that problem here.

Q: d. | 5x6 +72-8

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Q: 20. Let B; = {x eR|0< x < i} for all integers i = 1, 2, 3, 4. a. B1 U B2 U B3 U B4 =? b. B1 N B2 N…

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Q: Coloca la expresión despejada en términos de x. y = -2x + 5 → 6 y = 2 x – 4 | y = 2x(1 – x) → 7 ||

A: Solution: The objective is to write the given equations interms of x

Q: (a) Suppose R be the set of real numbers. Given A = {x €R|-7 5}. Find: i. AUC ii. (A UB) NC iii. AA…

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Q: 19. Which of the following properties of Real Numbers is NOT true ? * a. Vx ER, x+0 = x b. Vx, y, z…

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Q: Solve 2|7-x| 8 c. -8 6

A: We have given the inequality; 2|7-x| &lt; 2

Q: What value of x would prove a||b? a. x = 6.9 12x+3 b. x = 6 C. x = 12 d. x = 4.2 21x-51,

A: The asked question belongs to the topic of lines and angles where two parallel lines are intersected…

Q: 2x2 + 3r +2 2 +2

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Q: Let v = Find [-13]; ®= { [4]· [H] }; × = {[3]· B]}-· B C a. [v]: b. [v]: c. [B]: d. [B][v]: e. Are…

A: (.) Given,(.) Coordinate vector:  Let  be a basis of a vector space . Then coordinate vector of…

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

A: The union of two sets A and B is defined as the set of all the elements which lie in set A and set B…

Q: If -1 4 d. y < 6 e. 0 < y - 4 < 2 f. 2 < g. h. ly - 5| < 1 14 V V 1/6

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Q: Prove the following:  If a <b, then -b < -a

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Q: Let A = (x = R: 7 ≤x < 20} and B = {7, 18, 19, 20, 21). What is A - B? A. {x ER: (7<x< 18) (18 < x…

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Q: What is the value of the bordered Hessian determinant of the generalized Cobb-Douglas production…

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Q: The value of | 1/a da is O e+C O +C O a 2 + C O In(r|) +C O None of the others.

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Q: b. {r|x € N and 7 <x< 14}

A: Given,  x|x∈ℕ and 7≤x≤14

Q: Let a, be such that asb. Prove that tx Eqt ax cbx

A: Concept: We have a,b∈Q means that a, and b belongs to the rational numbers and a&lt;b means that a…

Q: -1 1 Let A= 1 Then, ||A||2 = -2 Select one: a. 9+V45 2 b. 8+V45 c. 10+V45 2 d. 7+V45

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Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g- h c) g.h d) Igl

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Show that ACB implies |A|≤|B|.

A: