RealityWillSlapYou
  • RealityWillSlapYou
Solve the absolute value inequality: |4x + 3| ≥ 19 A) x ≤ -5.5 and x ≥ 4 B) x ≥ -5.5 or x ≤ 4 C) x ≤ -5.5 or x ≥ 5.5 D) x ≤ -5.5 or x ≥ 4
Mathematics
katieb
  • katieb
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SmokeysTheName
  • SmokeysTheName
since there is an absolute value sign you have to set up 2 equations.
RealityWillSlapYou
  • RealityWillSlapYou
Solve and graph the absolute value inequality: |2x + 4| > 14
SmokeysTheName
  • SmokeysTheName
one that says: |4x + 3| ≥ 19 and one that says: |4x + 3| (lessthan / equal to) - 19

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SmokeysTheName
  • SmokeysTheName
do you see how i did that?
RealityWillSlapYou
  • RealityWillSlapYou
I just need to know which one I chose.... I'm on a time crunch
RealityWillSlapYou
  • RealityWillSlapYou
I am so bad at math
SmokeysTheName
  • SmokeysTheName
im not going to just give you the answer. i will help you understand it tho..
RealityWillSlapYou
  • RealityWillSlapYou
Okay, (•-•;*)
SmokeysTheName
  • SmokeysTheName
do you want my help?
RealityWillSlapYou
  • RealityWillSlapYou
Yes please
SmokeysTheName
  • SmokeysTheName
|dw:1359407665618:dw|okay so you will set them up like this:
RealityWillSlapYou
  • RealityWillSlapYou
Okay
SmokeysTheName
  • SmokeysTheName
you have to set up 2 equations because there is an absolute value sign
SmokeysTheName
  • SmokeysTheName
after that you solve for x. so start with the positive 19 equation when you solve for x what will you get.
RealityWillSlapYou
  • RealityWillSlapYou
x ≥ 4?
SmokeysTheName
  • SmokeysTheName
yes, now you got that one.. so just by looking at the answers you know its either a/d now do the second equation. what do you get?
RealityWillSlapYou
  • RealityWillSlapYou
x ≤ -(11/2)?
SmokeysTheName
  • SmokeysTheName
thats not all the way simplified but you're close , that simplifies down to ?
RealityWillSlapYou
  • RealityWillSlapYou
x ≤ -(5.5/1)?
SmokeysTheName
  • SmokeysTheName
yes which is also just -5.5 okay and so now you definitely know its either a/d okay the difference between a and d is that the middle word in a is "and" and the middle word in "d" is or.. do you know the difference between those?
RealityWillSlapYou
  • RealityWillSlapYou
No....
SmokeysTheName
  • SmokeysTheName
okay since you had the absolute value sign i told you before that you had to make two equations. and when you have to make two equations that means both of those answers need to be "included" so it would be "and". do you understand why?
SmokeysTheName
  • SmokeysTheName
do you understand why now* i should say
RealityWillSlapYou
  • RealityWillSlapYou
Yeah, I think so
SmokeysTheName
  • SmokeysTheName
okay good ! so your answer is a. good work (:
RealityWillSlapYou
  • RealityWillSlapYou
What about the question with the attachments?
RealityWillSlapYou
  • RealityWillSlapYou
I think it's "a"
SmokeysTheName
  • SmokeysTheName
just one sec . lemme do it first
SmokeysTheName
  • SmokeysTheName
yess you are correct!! (: good job (:
RealityWillSlapYou
  • RealityWillSlapYou
Thank you! :D
SmokeysTheName
  • SmokeysTheName
no problem (:

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