Description
Well I have the problem -15<2x-3<11 and I've gotten the answer -6<x<7 from working it out. My question is how do you know if it's all real numbers or if the linear inequality has no solution. Can someone please help me I'm stuck lol.
Explanation & Answer
Thank you for the opportunity to help you with your question!
your answer to the equation is correct -6 < x < 7
now, imaging these on a numbers line -6--<--->---x---<--->---7 this is continuous, you defined an interval, saying that x is between -6 and +7
if the inequality would not have a solution, it would like something like x < -6 & x > 7
i.e. --<---x--<--- -6 and +7 ---->----x--- these do not overlap, are not continuous = no soln
Please let me know if you need any clarification. I'm always happy to answer your questions.Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
The Picture of Dorian Gray
by Oscar Wilde
Good Kids Bad City
by Kyle Swenson
Anthem
by Ayn Rand
The Kite Runner
by Khaled Hosseini
The Red Badge of Courage
by Stephen Crane
Murder on the Orient Express
by Agatha Christie
The Hunger Games
by Suzanne Collins
Frankenstein
by Mary Shelley
Night
by Elie Wiesel