Let the universal set R, the set of real numbers. Let A = {x = R| 16 } ○ {xЄR|x<1 or x>6 } {xЄR| 1≤ x ≤6 } {x ЄR| 25}

Q: Describe the set of numbers that satisfy the following condition: -x is positive

A: the given condition is that -x is positive. this implies x is negative.

Q: |a|, called the of a, represents the distance from on the number line. to

A: It is known that a represents the absolute value if a.

Q: Write the following in interval notation {x €R: |x-1| < |x- 3|}- For example, an answer of), 4,…

A: Given,           x∈ℝ : x-1&lt;x-3

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

A:

Q: A(-3,4) -5 54 -3 -2 -1 a.) Domain: b.) Range: c.) f (-3) = d.) f (0) = e.) f (x) = 4 when x = f.) f…

A:

Q: A and B are sets of real numbers defined as follows. A-(: |2> 2} B-(: |258} Write AnBand AUB using…

A: Solution:   Given that A &amp; B are sets of real numbers such thatA = z | z&gt;2B = z | z≤8

Q: need help

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

Q: (a) Suppose R be the set of real numbers. Given A = {x €R|-7 5}. Find: i. AUC ii. (A UB) NC iii. AA…

A:

Q: Find all integral values of y that make the inequality true. Use interval notation to describe the…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: Let R be the set of real numbers, A = {x € R: 5<x< 10}, B = {r e R: 7<x<20}, C = (0, 10], D= (9,…

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Q: Consider the universal set R, define the interval A = [-7, 1], interval B = (-1,2), and C be the…

A: To solve using interval notation

Q: Let the universal set be the set R of all real numbers and let A={xe R|-2<x<2} and B= {x e IR |-3<x…

A:

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: Identify the values of x satisfying both |x - 8| < 7 and [x 10 < 6. (Give your answer as an interval…

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Q: Let x and y be real numbers. Disprove: If |x| < |y| then |x+1|< |y+1]. Let x, y, and z be real…

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Q: Give an example of numbers a and b such that |a + b| &lt; |a|+|b|.

A: To give an example of numbers a and b such that

Q: Let the domain be the set of all integers. Is the following predicate statement true or false? ∀x∃y…

A: Given that the domain be the set of all integers. And we have to verify that the given statement is…

Q: Graph on a number line the following functions: 1. {x|XE R, -31}

A: We have to graph the function on number line.

Q: The set {xER | x 220 or − 3x > 1} can be expressed in interval notation as:

A: Given : {x∈ℝ|x-2≥0  or -3x&gt;1}   To write : Given set in interval notation

Q: {x|x is a real number such that x² = : 1} {x|x is a positive integer less than 12} {x|x is the…

A: SOLUTION -(a)

Q: What is the set R of all real numbers?

A: Real numbers are the numbers which include both rational and irrational numbers. A real number is a…

Q: Let x be a real number. Prove by contrapositive that if x + 5x = 40, then x < 3.

A: