SOLUTION: this is only 1 problem out of 20. I tried reading the book and looking at examples but i still am not getting a good grasp of it. if you could please explain how and show the steps

Algebra.Com
Question 637426: this is only 1 problem out of 20. I tried reading the book and looking at examples but i still am not getting a good grasp of it. if you could please explain how and show the steps maybe i can get a better understanding of this. thank in advance.
My “and” compound inequality is
0<4+2x<22
My “or” compound inequality is
3x+6<-3 or 5-x<1
Solve the compound inequalities. Show all math work arriving at the solutions. Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!




for "and" compound inequalties, do it just like a regular single variable equation, except whatever you do to one part, you have to do to all three parts. Add -4 to all three parts:



Multiply all three parts by



for "or" compound inequalties, solve each part separately:







Then





Multiply by -1. Since the multiplier is < 0, reverse the sense of the inequality:



Then state both parts with the "or"

or

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism




RELATED QUESTIONS

How do I complete the problem sec(x)=2 for 0≤x≤π^2 ? How do the... (answered by Alan3354)
A charged particle moves from 0.2m to 0.5m from a fixed reference point in 0.5us. Find... (answered by Earlsdon)
Dear tutor, I am having a problem with standard normal distribution table. I have been (answered by Theo)
At what interest rate (to the nearest hundredth of a percent) compounded annually will... (answered by solver91311)
Find the domain and range for the following function: f(x)= 9x^3+4x^2-7 I have tried... (answered by ewatrrr,Edwin McCravy)
Hi , can you help me with a division of polynomials problem? (x-3) divided by... (answered by stanbon)
I apologize if this is in the wrong heading. My problem is systems of linear equation by... (answered by Alan3354,gonzo,jim_thompson5910)
I tried looking at some examples but i'm still confused. Can someone help please? thank... (answered by josgarithmetic,MathTherapy,greenestamps,ikleyn)
find the equation of a line containing the points (-2,-4),(-8,-7). I have tried to but i (answered by checkley77)