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: et -1 and g +2 be functions from R to R fo Ax+B and oft- Cx+D then match the unknowns-A B D. Match…

A: Given: f(x)=x2+1g(x)=x+2

Q: Select all numbers that are part of the domain of this relation. 1. -2 -1 -8

A: Solution:-

Q: 13. Which of the following sets is a function? А. ((3, 1), (3, 2), (3,5)} B. {(-1,–1), (–2, 7),…

A:

Q: Let A={2,4,6 } and B={1,3,5,}. which of the relations, R,S,and T defined below are functions from A…

A: We know that relation is said to be a function if every element in the domain have exactly one value…

Q: Which of the following sets represents one to one function? Select one: O a.{(1,-5), (-1, 6), (2,…

A:

Q: write D if the given variable is discrete and C if continuous. give solution    1. Selecting a boy…

A: A random variable, which is a function, can be expressed in terms of numerical value.

Q: Let A = {2, y, 6} and B = {x, 4, z}. which of the following are relation from B into A O a. R = {(2,…

A: We have to find that relation

Q: 4. Which table represents a relationship that is not a function? A. C. x y XA -2 0 2 -2 -2 -2 -2 -4…

A: There are four tables are given

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: Select the set that corresponds to the relation given in the arrow diagram below: A B с. D 1 2 3 4 O…

A:

Q: Let à (2, 4, 3) and b = (1, 3, – 4). = Find a b. . -

A: Let a→=2, 4, -3 and b→=1, 3, -4.To find a→·b→.

Q: D 12. Glve the domain and range of the relation. 4 O D: -3 £x £ 4; R: y =-5 O D: x = -5; R: -3 £ y £…

A:

Q: State the excluded values for the function: f (x) = 7+150+56

A:

Q: Find the inverse for each relation. 1. {(1, -3), (2, 3), (5, 1), (6,4)} 2. { (-5,7), (-6, -8), (1,…

A:

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: Exercises 13–16: For the table of data, complete the following. (a) Express the data as a relation…

A: 13). Given table of data is: (a)To express the data as a relation of S. Solution: A relation…

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: Given the relation A = {(5,2), (7,4), (9,10), (x,5)}- a function? Which of the following values for…

A: We know that function is a relation in which every point of domain has a unique image in codomain .…

Q: Let â = (2,0, –3), %3D b = ( and -4, –7,1) c = (1,1,–1). Find

A: The given vectors are a⇀=2, 0, -3, b⇀=-4, -7, 1  and  c⇀=1, 1, -1.

Q: Practice: 1. As x-,y-- 2. As x,y 3. As x 3.y As x-3",y 4. 5. As x1,y 6. As x-1,y- 7. As x→-x,y →_-…

A:

Q: 19. Which relation is not a function? A. (1, -5) (2,-4) (1,-4) B. (1,-5) (2,-4) (3,-3). C (1, -5)…

A: We will find which option doesn't represent a function as following.

Q: 4. Simplify the following. State any restrictions on the variables 4x²y° а. x*y? 3 ху b. 9x? -12x

A:

Q: Let A = {x, y} and B = {1,2}. Write down each function in the set BA. 3.

A:

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: 7. Consider the rectangle below. What is the equation of the line that maps the figure onto itself?…

A: To find the equation of a the line that maps the given rectangle onto itself

Q: 2. State the domain and range of each relation. a) {(0, 5), (1, 6), (2, 7), (3, 8)} b) {(1, 4), (2,…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

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”.