Let the universal set R, the set of real numbers. Let A = {x = R | 1 ≤ x<5} and B={x=R|26} {x = R | x < 1 or x>6} {x ER 1≤ x ≤6} O {xER 25 }

Q: Let a,b,c,d be real number with a < b < c < d. Express the set [a,b] U [c,d] as the difference of…

A: We have given that, a, b, c, d are real numbers with a &lt; b &lt; c &lt; d. We need to express a, b…

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

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Q: • Rewrite each of the following sets in interval notation. R: 23 23}

A: We have to rewrite each of the following given sets in interval notation :

Q: Let the universal set R, the set of real numbers. Let A = {x = R | 1≤x6} ○ {xER|x6 } ○ {x ER 1≤ x…

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Q: Prove that if a,b belong R(Real Numbers) then |a|-|b| is lesser or equals to |a-b|

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Q: need help

A: The objective of the question is to find the set of numbers x that satisfy the condition |8x − 4| ≤…

Q: What is the correct notation for "watched TV at least two days in the past week" in terms of X? Ox>2…

A: Days(x) 0 1 2 3 4 5 6 7 Probability 0.04 0.03 0.06 0.08 0.09 0.08 0.05 ?   x = no. of days…

Q: Let the universal set R, the set of real numbers. Let A= {x = R| 1≤x6 } {xЄR|x6} O {x ER 1≤x≤6} ○…

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Q: Use predicates notations with least number of words to express that: Each integer is less than some…

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Q: Determine the union X ∪ Y. Express them in interval notation. X = {x/x>-17 } and Y = {x/x<equal-10…

A: The union of two sets A and B is defined as the set of all the elements which lie in set A and set B…

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…

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Q: b. {r|x € N and 7 <x< 14}

A: Given,  x|x∈ℕ and 7≤x≤14

Q: ) Recall that r > 0 for every positive real number r. Prove that if a and b are positive real…

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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: Which of the following defines the domain of |4x-8<12? A) -8<x<-4 B)-4 <x < 8 C) -1<x< 5 D) 1<x<5

A: We can solve the inequality in order to get the solution.

Q: Let Q denote the set of rational numbers. Show that card(Q)=x0. What is card(R/Q)?

A: Solution:- Step1:-      It is given that ℚ is the set of rational number  then,        we have to…

Q: Let the universal set R, the set of real numbers. Let A = {x = R| 16 } ○ {xЄR|x6 } {xЄR| 1≤ x ≤6 }…

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