Does the relation "is greater than" have a reflexive property (consider real number a)? A symmetric property (consider real numbers a and b)? A transitive property (consider real numbers a, b, and c)?

Q: Identify the following statement as either true or false. A number can be both rational and…

A: we have to identify the following statement is true or false

Q: write as interval the set defined on the real line 45 67 8 -3 -2 -1 0 1 2 a) b) -2 c) -5 -4 -3 -2 -1…

A: It is known that, while writing the interval we have to decide that whether the interval is open or…

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: Let S = [-00,00] the extended real number and A = N. then: One of the following statements is true:…

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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: аch ex 1. 17-5-4+2 3. 35 - 14 + 2 2 92

A: To simplify

Q: The absolute value function (f x x ), is used to describe the distance of any number (x) from the…

A: To find- Evaluate  -15 + 2-3 - 8 5 - 12 - 12 - 5 -15-3 + -153     Definition Used-  The absolute…

Q: For every real numbers a and b, b = 0, |a| |b| a b

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Q: the arithmetic mean of two unequal positive real number 'a' and 'b'; (a> b). be twice as great as…

A: Given : Arithmetic mean = 2* geometric mean We have to prove the mentioned condition.

Q: With domain of discourse as the real numbers, prove that the following statement is false: Væ3y(y? <…

A: the given statement states that for all real values of x there exist a real value y such that  y2…

Q: Check whether each satisfy a relation property: (ex, transitivty, etc ): > = " < 9 for real numbers

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Q: 2.) Describe the following sets using the two methods of writing set. a) The set of integer greater…

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Q: ? > 10 is an example of what property of inequality? a.) Transitive property b.) Trichotomy property…

A: Explanation: Given that, x&gt;10   Concept Used: Trichotomy property:When we compare two numbers…

Q: E] Find domains and ranges of the following relations? Write domains and ranges in interval…

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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: 3) Evaluate each algebraic expression for x = 4 and y = 2. a) 2x² + y b) y² + 16 + x² c) xy

A: Given query is to find the value of the expressions at indicated value of x and y.

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: 2. Definition. Let r be a non-negative positive real numbel A square root of r is the Iinique…

A: Note: Square of any real number must be non-negative and addition or subtraction of any two real…

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 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: CHANGE TO INEQUALITIES A) A NUMBER MINUS 2 IS NOT EQUAL BUT LESS THAN 25 B) THE SUM OF Y AND 8 LESS…

A: Answer

Q: 3. Let a and b be two unequal numbers from R. A. The difference ba is not necessarily positive.…

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Q: Given real numbers a and b, establish the following formulas max{a,b} = (a + b + |a-b|) min{a,b} =…

A: Given two real numbers .