A community for students.
Here's the question you clicked on:
 0 viewing
Castiel
 one year ago
Solve inequality (x+3)^2<1
Castiel
 one year ago
Solve inequality (x+3)^2<1

This Question is Closed

Castiel
 one year ago
Best ResponseYou've already chosen the best response.0The exponent is confusing me

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0get rid of the  first, its redundant then square root?!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Let's solve your inequality stepbystep. (x+3)2<1 x2+6x+9<1 Let's find the critical points of the inequality. x2+6x+9=1 x2+6x+9−1=1−1(Subtract 1 from both sides) x2+6x+8=0 (x+2)(x+4)=0(Factor left side of equation) x+2=0 or x+4=0(Set factors equal to 0) x=−2 or x=−4 Check intervals in between critical points. (Test values in the intervals to see if they work.) x<−4(Doesn't work in original inequality) −4<x<−2(Works in original inequality) x>−2(Doesn't work in original inequality) Answer: −4<x<−2

Castiel
 one year ago
Best ResponseYou've already chosen the best response.0so basically because of the exponent it's the same as (x+3)<1

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0no the square will be +ve so you don't need the  , it's redundant so get rid of it first

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeahh thats what throws it off my fault

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0Casteil try doing it yourself having got rid of the , we can addresss the exponent directly and in far far fewer lines!!!

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0without the 's, what does the equation now say?

Castiel
 one year ago
Best ResponseYou've already chosen the best response.0but square root of (x+3)^3 is again x+3

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0if you know that \((x+3)^2 < 1\) then you know that \( x+3<1\), yes?

Castiel
 one year ago
Best ResponseYou've already chosen the best response.0and then from that 1<x+3<1 and we get 4<x<2

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0well done castiel!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.