{x|x is a natural number and 20

Q: Let X- N (8, 64), Find P ( 8< X< 16).

A: Standard normal distribution: The standard normal distribution is a special case of normal…

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

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Q: Write the following in set-builder notation. All positive real numbers.

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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: true or False For all number x, then |x| > 0.

A: For all number x then |x|&gt;0

Q: 1

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Q: Solve; |2x  + 1|   x  > - 1 -2 > x > 1

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Q: Does the Nearest Point Theorem in R imply that there is a strictly positive real number nearest…

A: The statement of the Nearest Point Theorem is as follows: "Let A be a non-empty closed convex set in…

Q: If 50 f(x) dx exists, then f(x) da exists for every real number b> a

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Q: Find all values of 8 >0 such that |-2|< 6 ⇒4r-8 <3 Your answer should be in interval notation. Make…

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Q: Use a graph to find a number N such that

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Let the domain of x be the set of negative real numbers. Then Vx, (1+ x² > 0) is a true statement a…

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Q: Let S = {-5,-1,0,2/3,5/6,1,sqrt(6),4,5} Determine which elements of S satisfy the inequality.…

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Q: 9. Prove or disprove: The inequality 2 ≥ x + 1 is true for all positive real numbers x.

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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: If U = {1, 3, 5, 7, 9, 11, 13), then which of the following are subsets of U. pick two three {5, 11,…

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

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Q: Consider the following predicates defined on the domain of all real numbers. P(x): "x is positive"…

A: In mathematical reasoning, DeMorgan's law is very important. It is used in the case of compound…

Q: The set of real numbers in interval notation is represented by

A: The set of real numbers in interval notation is represented by ℝ=-∞,∞.  Interval: An interval  a,b…

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

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Q: {x|x is all real numbers}

A: Given: {x|x is all real numbers}