{x |x is even and 5 < x < 12} {5, 6, 7, 8, 9, 10, 11, 12} {6, 8, 10, 12} O {6, 8, 10} O There is not enough information to answer.

Q: Let A = (1,2,3, 4, 5,6,7,8), B = {x € Z|x is divisible by 3}, and C = {x € R|x? = 4 + x = -1}, Z =…

A: Let A be a set. When x is an element of a set of A, it is expressed as x€A(read as x belongs to A)…

Q: Select two positive integers a and b with 5 <  a  ≤  20  and 5  <  b ≤  20.

A:

Q: Which of the following are difference sets?

A: Introduction: A (v, k, λ) difference set is a k-element subset D of V = Z (mod v) in which any…

Q: Ix-51>7* O x>7, x 12, x 12 No Solotion

A: We have to solve the inequality

Q: Which of the values below is closest to 3! +4! + 5!? O 100 O 150 O 200

A: Given  which of the values below is closest to 3 !+4!+5!

Q: Set B (x+7)(x-3) 20 20 x+6 x+7 <0 x-5 x+3 20 x-10 1. x-1 x+3 3. 2.

A:

Q: 6. Prove that the statement "If x is a real number such that x² > 4 then x > 2" is false.

A:

Q: d) Prove that −1 < x < 0 implies that |x³ − 2x + 1| < 1.26|x − 1].

A:

Q: If a,b,c,d are in distinct real number in A.P. Such that 2(a-b)+c(b-c) +(c-a) =2(a-d)+(b-d) +(c-d)'…

A:

Q: If you were asked to find R6 on the interval [4,10], what x values would be evaluated? 5,6,7,8,9,10…

A: To find R6, we partition the given interval [4, 10] into six equally spaced sub intervals.

Q: . Let n =12,612,6x0,725,725 . a. If 9 | n, then x = ________ . b. If 11| n, then x = ________.

A: (a) We know 9 | n iff the sum of the digits of n is divisible by 9.     n = 126126x0725725    =&gt;…

Q: Prove that la + b + c| < ]a] + ]b| + |c[

A: Prove that,    a+b+c≤a+b+c

Q: Which x satisfies both Ix - 31 &lt; 2 and Ix - 51 &lt; 1?

A:

Q: 4 (ii) 16 | at + 15.

A: Step-1 1)16|a4+15

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: (b) Prove that 27 (2⁹⁹ +1).

A:

Q: Let A be the set of odd integers, and let B be the set of positive integers less than 10. Find An B…

A:

Q: How many possible 6 digit numbers are there where all of the digits are different? Remember that a…

A:

Q: {5}⊂{1, 3, 5, 7, 9,...} true or false

A:

Q: O Equal O Equivalent

A: Given: The set A=2, 4, 5, 8. The set B=2, 4, 6, 8. Two sets P and Q are said to to equal, if each…

Q: Which of the following sets is empty ? * O (x: X = x*2} O (x: x is not equal to x) O (x: x is not…

A: A set is said to be empty if it does not contain any element.

Q: Prove the statement that "The sum of three consecutive integer numbers is odd if and only if the…

A:

Q: A supplier of ballpoint pens guarantees a low defective rate.  Sara receives a shipment of 400 pens…

A: Ww hvae to find values of x ..

Q: 3. Find all r so that r-1+r-2| < 5.

A:

Q: Let x and y be non-negative real numbers. Arithmetic mean of x and y is defined by 2, and the…

A: The problem is related to descriptive statistics. Under statistics the arithmetic and geometric mean…

Q: Using the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if no element…

A: An odd number is determined by the unit digit. If the unit digit is an odd number, then the number…

Q: Let A=[-1,7[,8={-1,3.10,12} and C={7}. Then (A-B) UC=

A: Given that A={-1,7} B={3,7,10,13} C={7}

Q: Let X be a set of integers. How many integers are needed to guarantee that there is a difference…

A: We shall be using the Pigeonhole principle

Q: 3 6. Let A= 0 x+1 1 x -8 x-1 For what values of x does A-¹ exist?

A:

Q: that if 3 divides the sum of the digits of n, then 3|n

A:

Q: 4. Ax (1-22, 1+22) where A - Z 5. Ax(0, 32, 62) where A - Z 6. A, [5, 10- +] where A = Z' 7. Ax (5+,…

A:

Q: A curve is given implicitly by the following equation .2 (x + y)² + x²y = 11 Find the slope of the…

A: Given the equation of the curve is  x+y2 + x2y = 11

Q: Describe the set of real numbers x for which x + 2/ x − 5 > 1

A:

Q: Q={x I x is an integer and -4 &lt; x&lt;-2}

A: Solution :- Given that  Above set is defined as set of the entire integer starting from -4 to less…

Q: This question is split into four groups. Each group has exactly one correct answer. In this…

A: Let's do one by one. The absolute value or modulus of a real number x is  denoted |x|  Namely, |x| =…