AP Calculus AB (Algebra Review)

posted by .

Show that if |x + 3| < 1/2, then |4x + 13| < 3.

I have no idea how to do this. I thought I might have to use the triangle inequality thing but that got me no where

for the first equation I got a soultion of

(-7/2, -5/2)

and for the second soultion i got

(-4, -5/2)

I thought it was interesting that the upper end points on both were the same but the beggining differ by half in magnitude so I don't know how to do this problem if you could show me that would be great thanks

  • AP Calculus AB (Algebra Review) -

    We know that x is between -7/2 and -5/2
    If x = -7/2, what is |4x+13|? answer 2
    If x = -5/2, what is |4x+13|? answer 3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. The IM (LIVE EXPERTS) thing

    Hi, Jishka I thought that this live expert thing would work but it is not. I thought it was suppose to be on hand and direct help. Could you explain this to me, because this IM thing is "NO" help!!!!!!!!!!!!!!!! The live room has some …
  2. English

    Noun means a person,place thing or idea. List 3 things for each. Person: teacher,doctor,nurse Place: park,school,store Thing: pen,notebook,book Idea: I need help with the idea Please help Thank you! idea: Peace, tranquility, hope, …
  3. Shapes

    I know this seems like a somewhat silly question, but what shape is a pizza slice?
  4. Calculus Exam

    My calculus exam is on friday. I was wondering if anyone had any tips on doing well?
  5. Discrete Math

    I have a review problem I am having problems with. This is the problem: Be able to show the function, g(x) is O(f(x)) numerically as we have done in class Use the definition of O-notation to prove that 2x^2+3x+4 is O(x^2) (Do not use …
  6. algebra 1

    Can someone please help me with this inequality problem -3-8>(4x+8)-8 I have no idea how to solve this problem but I would like to learn. Can you be kind to show me the steps so that I can use this as an example problem for other …
  7. u.s history

    I have a test tomorrow in US history that I am studying for. My teacher told us that on the test we will have to put 10 of the most important and relavent things that happened from prehistory to 1824. I have a hard time learning history. …
  8. Triangle inequality?

    Two altitudes of a triangle have lengths 12 and 14. What is the longest possible length of the third altitude, if it is a positive integer?
  9. Language Arts

    Which revision to sentence 3 contains an example of vivid description?
  10. calculus

    Let y = sinx + ztanx,where z is a function of x. If (dy/dx)= z+ cosx, show that (d^2y/dx^2) =-y. I really have no idea how to do this. Please show me

More Similar Questions