Which of the following sets are well-ordered? Justify your answers. (a) A = {r € Q :1> -5} (b) A = {-4,–3, –2, –1,0,1, 2, 3, 4} (c) A = {r € Q: -2<1< 2}

Q: 42 - z + ^ − z^ - IՒ 05 lim

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Q: Let f(x) = 2 and g(x) = = I (¹) ² 3 and evaluate the following:

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Q: -32 B: +14+2*6-83-(-4) -|-2|³-1+5²

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Q: 12. Evaluate: 2 -1 4 -3 -1 (b) 3 1 2 2 3 -2 2 -3 -1 1

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Q: 2. If x = -2, the value of the expression 3x? - 5x + - is - (pp. A6-A7)

A: 3x2-5x+1x Put x=-2, we get 3x2-5x+1x=3-22-5-2+1-2=12+10-12=22-12=432

Q: Find the value of |(-1)*+1 – (-1)*+2|. A. -2 B. (-1)" C. 2 D. I(-1)"| E. None of the above.

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Q: (b) x? - x - 6 >0 (

A: First, factor the left side of the inequality x2-x-6&gt;0. Split the middle term -x such that the…

Q: m-(-5)<14

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Q: What is the value of p(x > -6)

A: Let X be the discrete random variable. The probability distribution of X is…

Q: 8&lt;3r-1&lt;-1

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Q: A thermometer is taken from a room where the temperature is 24°C to the outdoors, where the…

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Q: 2. f(-2)--13 9(-2)=11 (F-9) (-2)=

A: f(-2)=-13 g(-2)=11

Q: -4-6 -7-3 [B] [F] = 9-7 40 2[B] – 4[F]

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Q: Replace R2 by R2 +(-6)R1. 19 -3 -5 6 7 7 -9 9 8 R2 +(-6)R, =

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Q: 46.) Solve: |x + 4| > 1. a. x  -3 b.-5 -3

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Q: -9 < 3x + 3 <= 22

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Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: Consider, Thus,

Q: * 4. Determine the conditions under which each of the following conditional sen- tences will be a…

A: (a) The conditional statement "If a + 2 = 5, then 8 &lt; 5" will be true when the expression "a + 2"…

Q: 8|-x/2+7|-7&lt;-3

A: Solve the inequality

Q: x+1 1. 20 x-3 x-2 2. <0 3. x*-4x x-1

A:

Q: 3. f(-2)=-13 (-2)= (fa) (-2)=

A: The multiplication of two function is: fgx=fxgx

Q: If t<0 andt2-4=0what is the value of 3t+5?

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Q: 5. Which of the following is the value of 7-x+3 when x= -20? (1) 7 (2) 9 (3) 10 (4) 16

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Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Find x if we are given that * = -101

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Q: L(3tcos2t) is equal to? Select the correct response: O [3(s? + 4)]/(s? - 4) O (3s2 - 12)/(s² + 4)² O…

A: Laplace transferom of the function

Q: :The value of -2|U(A)| is

A: If the value of U(A) is (5) or (-5) then |U(A)| =5 then   -2|U(A)|=-2*5=-10. Otherwise answer is…

Q: 2. Determine where -x* + 6x2 < 5.

A:

Q: 5(11 − ?) < ? + 49

A: 5(11 − ?) &lt; ? + 49 this inequality given  we have to find value ? this is the question of…

Q: (-o0,-4) (-2,7] t. 180,90 (3.2, ∞) foo, 00)

A: Given intervals are  -∞,-4  (-2, 7 ]  180, 90  3.2, ∞  -∞,∞

Q: for the set b={3}, determine n(b)

A: Given,

Q: The distance between x and 3 on a number line is no more than 0.5.

A: Given: The distance between x and 3 on a number line is no more than 0.5

Q: I want to know how to find the value of t ( ۱ - له ره + X \ = (2 + ) ه .. -۱۱- ۱ (۱۰) اهره + + t

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.