Let A be the following set. A = {1, 3, {1,2}}. Mark each of the following true T or false F. 1. {2} € P(A) 2. {1,3} € A x A 3. (1, 2) E A x A 4. {{1,2}} C A 5. {1,2} C A

Q: 20.) Which translation takes y = |x + 2| - 1 to y = | x | + 2? a. 2 units right, 3 units down b. 2…

A: We need to plot the graphs of y=x+2-1 and y=x+2 And we have to determine the translation from…

Q: 1. Match each tape diagram to the situation that it models. o Priya ate x ounces of broccoli. Noah…

A: Priya ate x ounces of broccoli. Noah ate 1/5 of that.Noah bought x pounds of chicken. Priya bought…

Q: 3. In which table does y vary directly as x? A. C. y X y 1 1 2 4 3 4 B. 9 16 1 3 2 4 -4 -3 -2 -1 D.…

A: We have to find in which option y is direcy varies as x.

Q: Construct the set S+T in the cases shown in Figs. (a) and (b). a Sb Figure (a) b a b Figure (b)

A: a) Given  S=(x,0)|a≤x≤b and T=(0,y)|c≤y≤d. So S+T is given by  S+T=x+y|x∈S and y∈T…

Q: Let A= {5, 6, 7, 8}, Let R: A-> A and S: A-> A. Let R= {(5, 6) (6, 8) (7, 6) (8, 7)} and S= {(5, 5)…

A:

Q: 1. The table shows the number of deaths in the U.S. in a year due to a variety of causes. For these…

A: The total population of the USA is given to be312 million. The table below shows the number of…

Q: Let A= (1,3] and B= (2,6] this is interval notation find the following a. A U B b.A n B c. B-A d. A…

A:

Q: Suppose you are given the following x and y values. Assume x is the independent variable and y the…

A: The coefficient of determination is denoted by " r2" . The r2 value always between the 0 and 1.  As,…

Q: Which of the following are trees and which are forests? S E H I OA: Is a forest OA: Is a tree C F…

A: We have been given four graphs.To Do:We have to determine the given graphs are a tree or a forest.

Q: 3. Find the inverse D- (1-2, 4), (-1, 1), (0, 01. (1, 1), (2, 4)) -0.00-11.01. 11 (4, -21. (4,2)…

A: We know that fa=b ⇔ f-1b=a

Q: Consider the values a = 1, b = 1, e = 1 eb = 1, In(a) = 1, and In(b) = 1. Rank the following…

A:

Q: 33. The statement f(4) = 1 corresponds to what ordered pair?

A: It is given that f4=1

Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: Express the verbal representation for the function, f, symbolically, numerically, and graphically.…

A: To express the verbal representation for the function, symbolically,  numerically, and graphically.…

Q: If a column chart has a nonzero origin, then   A.  It is considered an ideally formatted chart…

A: We have given the following statement about the column  chart.

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…

A: We have to check whether the given statement is true or false.

Q: Refer to B={ ={₁0, -6, 0.23, 3, -1.7, √7}. Determine which elements belong to the given set.…

A:

Q: Match the indicated sets below with the letters labeling their equivalent sets if A = {x €R: x >…

A:

Q: [1 -1 4. 8. 1 -2 11. Suppose A = 2 4. B = C = -2 -2 , and D =| 2 Calculate the following, if they…

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”.