Question

Rewrite the following without the absolute value symbols.
| x - 11 | < 6

x < 5
x > 17 or x < 5
x < 17 or x > 5
x > 17
x > 17 and x < 5

| y + 7 | ≥ 1

y ≤ -7 or y ≤ -8
y ≥ -7 or y ≤ -8
y ≥ -7 and y ≤ -8
y ≥ -7
y ≤ -8

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Algebra

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: 6 and g(x) = X find the following functions For f(x)= X a. (fo g)(x), b. (g o f)(x), c. (f o g)(7), ...

A: Given,

Q: (2z-11)2+3=17

A: Given information:The given equation is (2z-11)^2+3=17.

Q: Determine algebraically whether f and g are inverse functions.  f(x) = 5x - 3          g(x)= x+3/5

A: Given:The functions f(x) = 5x - 3 and g(x) = (x+3)/5

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where possibl...

A: we are given log expression 

Q: g(x) f(x) 1 The functions f and g are defined by the following tables. Use the tables to evaluate th...

A: We need to find the value of [f inverse g (10)].

Q: Over the last 3 evenings, Amanda received a total of 77 phone calls at the call center. The third ev...

A: Let she received x calls on the first evening. The third evening she received 8 calls more than the ...

Q: Suppose that the functions u and w are defined as follows. =u(x)=x^2+6 w(x)=√x+1 Find the following....

A: Given information:The function u and w defined asu(x)=x^2+6w(x)=√x+1

Q: Evaluate the piecewise function at the given values of the independent variable. 2x+5 if x <0 f(x) 3...

A: Since -3 is less than 0, so we have to use the first part of the function where f(x)= 2x+5 if x&lt;0...

Q: Last year, Isabel had $20,000 to invest. She invested some of it in an account that paid 7% simple i...

A: Given:Isabel had a total amount of $20,000 to invest.One of her invesetment gave her a 7% interest a...

Q: Begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to...

A: Given:The function f(x) = |x|.

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 10x2 gx)= $2 5x+8 Sele...

A: This graph has horizontal asymptote because the degree of numerator and denominator are same.

Q: A car rental company charges an initial fee plus an additional fee for each mile driven. The charge ...

A: The charge to rent economy car is given by the function,

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linear inequality: Interval notation Esp...

A: We first solve for x from 4x+1&gt;=21

Q: Write an equation (slope-intercept form) of the line L satisfying the given conditions: 1.) L passes...

A: 1)The slope of line ax+by=c is -a/b, using this we can calculate the slope of given line m1 which is...

Q: In Exercise 4, given each set of numbers, list the a) natural Numbers b) whole numbers c) integers d...

A: Given set of numbers are:Natural numbers:The numbers that are used for counting are called natural n...

Q: if x&lt;0 and y&gt;0, determine the sign of the real number.  1 (a) xy   (b)x2y  (c) x/y +x  (d) y-x

A: Calculation:(a)The condition on given real numbers are x&lt;0 and y &gt;0.That is, the condition x&l...

Q: What is the inverse equation for (x+2) over x? x+2 x

A: Given information:The given function is  

Q: Simplify the difference quotients f(x+h)-f(x)/h and f(x)-f(a)/(x-a) for the following function by ra...

A: Here, we find f(x+h)  by replacing x by x+h  ,substitute the values of f(x+h) and f(x) and then by r...

Q: Use the given function to complete parts (a) through (e) below. f(x)-x-9x2 O Even, y-axis symmetry O...

A: The given function is,

Q: Explain why it is important to understand the base for a number as well as the value.

A: In the standard numerical system, the base is the number which is used to represent the value of the...

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as ...

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: We have been given a system of linear equation in 3 variables that we need to solve.

Q: Steve and Nicole entered a double-decker bus in London on which there were 5/8 as many men as women....

A: Given information:Steve and Nicole entered a double-decker bus in London on which there were 5/8 as ...

Q: I am having difficulty with problems involving piecewise. Can I be helped in a step-by-step tutoring...

A: Piecewise functions are: pieces of different functions (sub-functions) all on one graph. The easiest...

Q: Use the graph of y f(x) to graph the function g(x)=f(x + 4) Choose the correct graph of g below y fx...

A: Refer to the question, with the use of the provided graph of y = f(X) we have to find the graph of t...

Q: f Then determine the domain for each function Given f(x)- x+6 and g(x) 4x, first find f+ g, f-g, fg,...

A: In this question, we have f(x) = x + 6 and g(x) = , we need to find f + g, f - g, fg, and f/g. we ne...

Q: Find an equation of the circle whose diameter has endpoints (-3,6) and (-3,3)

A: To calculate the equation of the circle from the provided endpoints coordinate of diameter. The endp...

Q: -18 = -3/4 y solve for y

A: To calculate the value of y from the provided equation  -18=(-3/4)y. Now, first resolve the fraction...

Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...

A: In order to subtract the exponents, first check the base of the both exponents are same or not.If th...

Q: 21) A camera production company's revenue is given by: R(x)-2x1 52x +750, where x is number of camer...

A: Find the number of cameras when the company produce to make $500.A camera production company’s reven...

Q: Evaluate. (8^2-2^5)/(24/6)+3^2

A: To calculate the value of the provided expression (8^2-2^5)/ (24/6) +3^2. First simplify the bracket...

Q: Fill in the blank to make the expression a perfect square. 2 12y X

A: The given expression is,

Q: Graph the circle 4x^2+4y^2+8x-24y+31=0

A: The given circle equation is

Q: Evaluate the expression without using a calculator. log 1000 log 1000 Enter your answer in the answe...

A: We first write 1000=10^3

Q: #21 and #22

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linttarinequality Interval notation Espa...

A: The first inequality is,

Q: Solve the equation for the unknown quantity 19.42 = P(1.2)3

A: First we simplify (1.2)^3.(1.2)^3=1.728

Q: For each equation, determine whether it represents a direct variation, an inverse variation, or neit...

A: The given equations are xy = 2 and 10/y = x.

Q: A jet travels 4576 mi against a jetstream in 8 hours and  5696 mi with the jetstream in the same amo...

A: Let, the rate of the jet in still air is = x mi/hourAnd the rate of the jet stream = y mi/hour.Speed...

Q: 11) In 2006 the average yearly tuition of a private college was $30,000, and it is projected to incr...

A: Let x represents the number of years after 2006 and $ y  represents the yearly tuition fees, When x=...

Q: 2x+7 The function x-9 X#9, is one-to-one. Find an equation for f (x), the inverse function. 0)x2 (Si...

A: Consider the given one-to-one function:

Q: 3m+24=6m-3

A: Firstly, we subtract 6m from both sides of equation and then we subtract 24 from both sides

Q: Find the domain of the following rational function. 19x +X H() +8 Select the comect choice below and...

A: The given rational function is

Q: what is 2-5

A: In this question we have to explain what the value is of 2 - 5

Q: Use the Intermediate Value Theorem to show that the polynomial f(x) =2x"-11x +4 has a real: zero bet...

A: We have to find f(-2) f(-2)=-8

Q: Solve and graph the solution on a number line

A: To solve and graph the solution of the provided inequality 9+2y≤4y+5. No, first solve the inequality...

Q: For 1-5, use the following function and use proper set builder or interval notation when appropriate...

A: The domain of the function is the values of x. And we have -3&lt;= x &lt;= 2 and x&gt;2. Combining t...

Q: Give the domain and range of the quadratic function whose graph is described. The vertex is (-1,-5) ...

A: Given information:The vertex is (-1,-5) and the parabola opens up.

Q: #21 when the wind is blowing at 25mph, a plane flying at a constant speed can travel 500 miles with ...

A: Given:The rate at which the wind is blowing is 25mph.At a constant speed a plan can fly 500 miles at...

Q: The hypotenuse of a right triangle is 5 ft long. The shorter leg is 1 ft shorter than the longer leg...

A: The length of the hypotenuse of right triangle is 5 ft.Let the length of longer side is x ft.Let the...