## aceace 3 years ago Absolute Value Question!

1. jiteshmeghwal9

@aceace post the question :)

2. aceace

Represent the solutions sets of the following equation on a number line...$\left| x+3 \right| > 1$ and $\left| 2x + 5 \right| < 3$

3. jiteshmeghwal9

|a| = -a if a<0 |a| = a if a>0 so solve (x+3)>1 & -(x+3)>1 (2x+5)<3 & -(2x+5)<3

4. jiteshmeghwal9

Do u gt it @aceace ??

5. aceace

yes but i got x>-2 , x<-4 and x<-1 , x>-4 but the answers are different

6. aceace

Could you do it step by step for me?

7. nubeer

hmm.. so what are the answers? @aceace

8. aceace

they are -2<x<-1

9. hartnn

these are absolutely, what u got x>-2 , x<-4 and x<-1 , x>-4

10. hartnn

now 'AND' means the common region between them what is common from x>-2 , x<-4 and x<-1 , x>-4 ?

11. hartnn

x>-2 , x<-4 |dw:1352542195310:dw|

12. hartnn

x<-1 , x>-4 |dw:1352542254504:dw| so whats the common region ?

13. hartnn

|dw:1352542362156:dw|

14. hartnn

-2<x<-1

15. hartnn

ask if there are still any doubts anywhere @aceace

16. aceace

i fully understand now... thanks

17. hartnn

welcome ^_^