Describe all numbers x that are at a distance of 3 from the number 6. Express this using absolute value notation.

Q: Write the following in interval notation x 3 |

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Q: Use interval notation to represent the four separate intervals where 5x^2−36x+36/x^2−2x−24≥0 will be…

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Q: graph to find if x- 5,then Itan (x) -1 L0.2 Use a a numberS" such that. 中

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Q: Write the following in interval notation: 3 + 4x < 6 + 8x

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Q: Use a graphing device to find the values of x for which  ex . 1,000,000.

A: ex=1000000

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

A: (a) 0 and -4      Distance between 0 and -4 is | 0 - (-4) | | 0 + 4 | = 4

Q: Let a and b be real numbers.

A: D: 8x + 5y + z = 13 Direction ratios of the normal  Dr = (8,5,1) L: x = 6 - 6t     y = -11 + t     z…

Q: The variable x is any real number (xcept 0 in a denominator

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Q: Find the composition and simplify your answer as much as possible. Write the domain using interval…

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Q: Find all numbers x in each case.

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Q: Prove the equality:

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Q: State the domain and range for each using interval notation.

A: 1) Given data:   The given expression for the function is y=sin(3x).   The domain is the value of x…

Q: Find the absolute value.|1 - i|

A: 1- i

Q: f(x)

A: Given that: The quadratic equation is f(x) = x2 - 6x + 2.

Q: Graph the absolute value function with at least five points on the graph. y = |x – 1|

A: Given query is to graph the function.

Q: 1. Write the interval notation equivalent to {x|x > -5 and x 3}.

A: We graph this on a number line first    There is a closed circle at x=-5 because it was included…

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: 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: 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: The point representing 0 on the real number line is the ________.

A: Real numbers are represented graphically on the real line. When we draw a point on the real line…

Q: What value of x verifies that

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Q: Write the following in interval notation: 2(3x + 4) < - 9 – 4x

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Q: Consider the interval. (4, 8) Rewrite the interval using plus/minus notation.

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Q: Determine the domain and range of each relation variables represent real numbers only  y= square…

A: Given:

Q: Define Absolute value.

A: Absolute value describes the distance of a number on the number line from 0 without considering…

Q: Graph the numbers x on the real number line. x &gt; - 1

A: Consider the given number x x&gt;-1 Since, x&gt;-1⇒x∈-1 , ∞

Q: For which values of x is the function f(x)=x+|x+5| differentiable? Use interval notation, the…

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Q: Find the domain of the following function and express your answer in interval notation.

A: Given,           f(x) = 6 - 3x

Q: Graph the interval represented in interval notation on the number line. (-4, 0) Number Line: -12 -10…

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Q: Write an absolute value expression to represent the distance between a and b on the real number…

A: Given,           To an absolute value expression to represent the distance between a and b on the…

Q: Define the term Absolute value.

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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: 04115

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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: In interval notation, what does a parenthesis signify? What does a bracket signify?

A: Brackets and parentheses are symbols used for enclosing words or numbers. Brackets generally refer…

Q: Consider the interval. 9.9 <x < 12.4 Rewrite the interval using plus/minus notation.

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Q: List all pairs of positive integers x and y that satisfy the equation x^y=2020^2020.

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Q: State all real-number values of x which will make this statement true:    x2 + 4 = 0

A: Given,          x2+4=0

Q: Find the Domain and Range of the function (Have your answers in interval notation)

A: Question: Find the Domain and Range of the function (Have your answers in interval notation)

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

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Q: x² + 2x – 12

A: Given that : The inequality x 2 + 2x - 12 &lt; 0.

Q: ี 2 T 2

A: Graph is given . We have to find the domain and Range .

Q: flx)= In (x-3) X1-16

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Q: If a and b are positive real numbers, show that

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Q: Consider the interval. (3, 7) Rewrite the interval using plus/minus notation.

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Q: Write the following in interval notation. The set of all numbers less than or equal to -3

A: Write the following in interval notation. The set of all numbers less than or equal to -3

Q: For which values of x is the function f(x)=x+|x+5|

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.