Describe all numbers x that are at a distance of 5 from the number 8. Express this using absolute val

Q: Suppose a company makes surgical screws. To pass inspection, the screws must be 62 millimeters long…

A:

Q: For all numbers x,x^4>x. True or false?

A: Given: x4>x To find all numbers of x, the given inequality is true or false.

Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) 4) (-3,3)

A: Here given  -3≤x≤3

Q: Express the distance between the given numbers using absolute value. Then find the distance by…

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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: Use the equation Σ x" for [x] < n=0 (Express numbers in exact form. Use symbol 6 1 - x4 Σ 1 1-x Σ…

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Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

A: To Determine whether the statement is true or false.

Q: Explain in writing how you correct for continuity.  When doing this use specific statements such as…

A: Continuity correction is an adjustment that is made when we are approximating the probability for a…

Q: Prove the equality:

A:

Q: Write x ≤ -2 in interval notation. Do not use spaces and type the word infinity if needed

A: →Small brackets · is used  for open interval.→Square brackets · is used for closed interval.

Q: Find the domain of x in the expression. x²– 36 O (-6, 0] U (6, ) O (-36, 0] N (6, o (-36, 0] N (-6,…

A: xx2-36

Q: Write the expression  |x − 5| + |x − 7|  without the absolute value symbols if x is in the given…

A: Consider the given expression as According to definition of absolute value of function,

Q: 2. Identify the values of the variable for which 4 - x is defined. Show the values on a number line.

A: Given √(4-x) is given function. Generally for a root function the value in root must be greater than…

Q: An online fax company,EFaxlt.com has a customer plan where a subscriber pays a monthly subscription…

A: Given that: Monthly subscription fee = $14.25Number of pages allowed to fax in monthly subscription…

Q: The term x has no coefficient . Determine whether the statement is true or false. If the statement…

A: the given statement is: The term x has no coefficient. we have to determine whether the given…

Q: Express the distance between the given numbers using absolute value. Then find the distance by…

A: Distance between -6 and 8 is |8-(-6)|.

Q: - 8xs2.4 Select the correct choice below and, if necessary, fill in the answer box to complete your…

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Q: Graph the numbers x on the real number line. x ≤ 7

A: The given inequality is: x ≤ 7 This can also be written as x∈(-∞, 7]   The inequality x ≤ 7  or…

Q: Determine whether each statement is true or false. If the statement is false, make the necessary…

A: we know that irrational number can be positive and negative also so, given statement is false

Q: Express the distance between the given numbers on the real line using an absolute value. Then…

A: Since, we know that if a and b are real numbers, then the distancebetween the points a and b on the…

Q: Write the following in interval notation: 9(3x – 9) + 2 > 5(6x – 2)+ 7x

A: Topic - linear inequality

Q: Graph the set {x |x<-5} on the number line. Then, write the set using interval notation. {x]x s -5}…

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Q: T-shirts are being sold for $40 per shirt and the store owner was selling an average of 60 shirts a…

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Q: Write the following in interval notation. If you need to signify –o use -INF or o use INF. If no…

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Q: Decide whether Truth or False. Væ (x² < æ³), domain all real numbers O True O False

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Q: Rewrite the expression without using the absolute value symbol. |x + 3| if x ≥ −3       if x < −3

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Q: Find the absolute value of the following. а. (2, 0 )

A: The given order pair represents the complex number.

Q: An ________ is a statement that equates two algebraic expressions.

A: We have to fill in the blanks: An ---- is a statement that equates two algebraic expressions. We…

Q: Represent the value of x when x can be any real number between 5 and 6 or any number greater than or…

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Q: List all numbers in the given set that are : a. natural numbers, b. whole numbers, c. integers, d.…

A: Let the given set be A - A = -9, -45, 0, 0.25, 3, 9.2, 100(a)Natural Numbers = ?Natural numbers are…

Q: Express the distance between the given numbers using absolute value. Then find the distance by…

A: We have to find distance between -19 and -4. Distance between x1 and x2 is given as: d=x2-x1…

Q: How could the absolute value of -2 make it a twin of 6 when |-2| = 2? Show work

A: Given that absolute value of -2 is 2 . And we want to prove that the absolute value of -2 make it a…

Q: the expression (oualtivalued ) Find all values of

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Q: ) Use interval notation to describe the set of real numbers {x \x² + x – 2 2 0}.

A: Given: x|x2+x-2≥0. Here, x2+x-2≥0x+2x-1≥0x+2≥0 and x-1≥0   or x+2≤0 and x-1≤0 When x+2≥0 and…

Q: Determine whether each statement is true or false. \{x \mid x \text { is a natural number greater…

A: a natural number greater than 10

Q: If x is the first of four consecutive even integers, write theirsum as an algebraic expression in x.

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Q: Rewrite expression without absolute value bars. x2  | x |    if    x &lt; 0

A: Given Rewrite expression without absolute value bars. x2  | x |    if    x &lt; 0

Q: Write x ≥ 4 in interval notation. Do not use spaces and type the word infinity if needed

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Q: What is the value (if any) of the following?  10^-x as x --&gt;∞ 10^-x--&gt;

A: Consider the given limit.

Q: Find the absolute value.|0|

A: We have to find the absolute value of |0|.

Q: Determine whether each statement is true or false. \{x \mid x \text { is a natural number less than…

A: x : x is a natural number less than 3=1, 2

Q: Express the set of numbers, x, satisfying |5x – 1| – 2 < 12 as an interval. Write your answer using…

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Q: Rewrite the expressions without using the absolute value symbol. |x − 7|  if  x < 7

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Students who score within 15 points of the number 90 will pass a particular test. Write this…

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Q: replace each question mark to make the given statement an application of the indicated property of…

A: Given that if y=x , x=z+2  and y=? We need to what is the value of question mark.

Q: Rewrite the expression without using the absolute value symbol. |x + 1|   if x ≥ −1     if x < −1

A: The given absolute value x+1 we have to rewrite the expression without using absolute symbol.

Q: Graph the numbers x on the real number line. x &lt; 4

A: We have to draw the graph of inequality on real number line: x&lt;4 Here number x is less than 4…

Q: The manager of an 80-unit apartment complex is trying to decide what rent to charge. Experience has…

A: Let's find.

Q: Show that: αλ (a-1)²(a-2) Var(x)=-

A:

Q: Express the quantity without using absolute value.

A: Modulus operator signifies that the quantity is always positive.