In the set R2, describe the sets S1 = {r € R? : ||r|| < 1}, Sx = {r € R² : ||-, < 1}.

Q: H.W 5) Lim x²9 Xート1 X+3

A: Given,

Q: Let W = (-∞,∞) be the universal set and Q = [-3,7) and P = [-5,4]. In interval notation, determine…

A:

Q: write as interval the set defined on the real line 45 67 8 -3 -2 -1 0 1 2 a) b) -2 c) -5 -4 -3 -2 -1…

A: It is known that, while writing the interval we have to decide that whether the interval is open or…

Q: 3. f(x, y) = x² x+y + y²-1 -; (1, 1), (-1, 1).

A:

Q: 5. a) Let X be Bin(6,0.7). Find P(X ≤ 5). Use the table. Bin(6,0.5) P(x <= 5) = Σ = 0.882 5 6…

A: The values of Binomial and Poisson distribution are given in the parts.

Q: Write the following in interval notation {x €R: |x-1| < |x- 3|}- For example, an answer of), 4,…

A: Given,           x∈ℝ : x-1&lt;x-3

Q: What Is the equation, in factored form, of the quadratic function shown In the graph? 5.

A:

Q: A young adult may be defined as someone older than 21,but less than 30 years of age. Express this…

A: A young adult may be defined as someone older than 21, but less than 30 years of age.

Q: For Exercise, write the set as a single interval. [(-0, 6) U (10, o)] N [8, 12)

A: We will draw them on a number line. Draw:

Q: Check whether each satisfy a relation property: (ex, transitivty, etc ): > = " < 9 for real numbers

A:

Q: For each part, write the set in the form [x | P(x)] (property that describes the elements of the…

A: Explained below

Q: Use graphs to find the set : (- ∞, 5) ∪ [1, 8)

A: Given that -∞,5∪[1,8). First draw the graph of -∞,5 and [1,8).

Q: For each set of real numbers below: A = {5":ne Z} 2 B = n² 4n²-1 ER} TER n=1,2,...} 22-3, -2,-1, 0,…

A:

Q: The interval [7, 13] is described by Ix - 101 &lt; 3.

A: Given: x-10&lt;3 we know that if x-a&lt;b then -b&lt;x-a&lt;b

Q: a) Find P(Z > 1.5) [Select] b) Find P(-1.5 ≤Z≤-0.5) [Select ] c) Find P(Z<-1.5) [Select] ◄►

A: Here Z is standard normal variate  i.e. Z has normal distribution with mean 0 and standard deviation…

Q: What is the interval notation for × >-6 and × > -3

A: Given x &gt; -6,   x &gt; -3

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: 8. Let U = (-00, ), A = [-1,6], B = [-6, 2). In interval notation, determine An B. 9. Let U = (-0,…

A:

Q: The maximal interval?

A: Given D.E is    with initial condition   .And solution is

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…

A:

Q: what are the integers for 6<x<7 with a line under each less than sign

A: To determine: The integers for 6 &lt; x &lt; 7 with a line under each less than sign. It means, 6 ≤…

Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) (-3,3) 4) 1 O O O O a b n…

A: From the convention of interval notation, We can write: a≤x≤b  as x∈[a,b] which represents x which…

Q: Graph the set {x | -2<x<4} on the number line. Then, write the set using interval notation. (지-2 <x<…

A:

Q: (−4, 5]∩[1, 9]. Write your answer in either set-builder or interval notation.

A: Here, we have to determine (−4, 5]∩[1, 9].

Q: Indiana's favourite set is A= {r² +1: z€ Z, –35a51}, and Marcus's favourite set is just B=…

A: Consider: A=x2+1: x∈Z, -3≤x≤1 and B=3, 4, 5, 6, 7, 8. Substiute x=-3, -2, -1 , 0 ,1 into x2+1 and…

Q: Graph the set {x | -5<x<-3} on the number line. Then, write the set using interval notation.

A: x  -5&lt;x≤-3 Now the graph is,

Q: How do I convert that anwser to an interval notation?

A: Find The Interval of Convergence of the Power Series :

Q: State our definition of “valid inference” and then explain how to use a truth table to test the…

A: Statistical inference is defined as the process inferring the properties of the given distribution…

Q: Graph the set and write the interval notation : a) (-00, -1]U (-3, 12] b) [0, 8) n (3, 12]

A:

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”.