Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a comma-separated list.) {−1, 0, 4, 5, 7}

Q: 1) -141, Vī, -8.5 , vZ , 1000

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Write down the dimension of the following set, 4s -3s: s,t in R -t

A: Consider the…

Q: For No. 24, use set-builder notation to state the domain and range. 24.

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Q: state explicity which ordered pairs are in A x B and which are in R?

A: The ordered pairs (x,y) such that x∈A, y∈B are in AxB. i.e.  AxB={(x,y) | x∈A, y∈B}

Q: . W: {Set of whole numbers less than 10} -: {-45x5,xel} M: {ala=-3x,0sxs5,xeW}

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Q: Consider two numbers where one number is 6 less than a second number. Find a pair of such numbers…

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Q: The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of x such…

A: Ans:- x= 35 I have done solution with diagram so that you can visualise this problem...and in this…

Q: Evaluate: [; 1 1+x+|x| dx

A: To evaluate the given integral

Q: Use the table to evaluates each expression, ☆(リ of 2 3 (gogle) 3 4 2 2 2

A: That's easy. Have a good day!!!

Q: Find the set (A∪B)∩C if A={0},B={1,2} and C={−1,0,1,2}

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Q: For the next 3 questions, write the elements of the set of your answer in ascending order. Let A =…

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Q: Determine if the following statement is true or not. Let the domain be the set of all integers Z. Jx…

A: Set of all iintegers is: Z={0,±1,±2,±3,...}

Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: Write the set {. . . , −7/8 , −3/4 , −1/2 , 0, 1, 3, 7, . . .} using set-builder notation.

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Q: The house of a row are numbered consecutively from 1 to 49 .show that there is a value of x such…

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Q: Use the set notation to write the following: 1. Cis the set whose elements are 5,10 and 15.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Write the set using roster notation: {xIx ∈N and x >24} a. {xIx is a natural number less than 24}…

A: We can write the set in roaster form as below

Q: Re-write the following set of expressions as a single expression. Clearly define any…

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Q: Simplify. Assume that all variables represent postive  Real numbers

A: As per our guide lines, we'll able to solve only one question. Please upload the question again.

Q: The product of any integer and 2 is greater than 2.

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Q: Suppose that y and x are real numbers with y – 4x = 6. Find the least possible value of the |-…

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Q: The set of all positive multiples of v2 is countable.

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Q: Check if the following statement is TRUE or FALSE. 2 Let X and Y be two real numbers satisfying x² +…

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Q: Let l1 and l2 be as above. Describe precisely the intersection l1 lz and justify your answer.

A: Ans:

Q: If z≤2, show that |Im(5 + 2z - 3z³)| ≤ 33.

A: The given problem is to show the given identity for the given condition |z|≤2. Given identity,…

Q: Find a number z that satisfies: |z| - z = 2 + i

A: Complex number which satisfy |z|-z= 2+i

Q: If |z| ≤ 2, show that |Im(5 + 2z - 3z³)| ≤ 33.

A: We know, for a complex number z      i) |Im(z)| ≤ |z|      ii) |z̄| = |z| Also, for any two complex…

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”.