## liljenredd 4 years ago Need help with |x-5|+5<8 show the steps please

1. dimbeni

you can start by subtracting 5 from both sides, getting |x-5|<3

2. xokatexo

sorry i was going to answer but dimbeni looks like he got it! :)

3. liljenredd

ok thanks xokatexo

4. xokatexo

5. dimbeni

then you split it in two: when |x-5| >0, it becomes x-5<3, i.e. x-5>0 AND x-5<3 x>5 AND x<8 5<x<8

6. dimbeni

when x-5<=0, it becomes -x+5<3, i.e. x<=5 AND x>2 2<x<=5

7. dimbeni

Finally, you join the two sets, getting 2<x<8

8. liljenredd

where did the 8 come from?

9. dimbeni

first part, when you have x-5<3, add 5 on both sides

10. liljenredd

oh ok I forgot about the 8

11. liljenredd

thanks!

12. dimbeni

;-)

13. xokatexo

can i have a medal? haha jk you dont have to give me onee!

14. liljenredd

I gave you one for effort!

15. xokatexo

omg thanks! my first one!

16. liljenredd

thanks dimbeni I get it now!!!! your welcome xo :)

17. xokatexo

xoxx<3

18. liljenredd

question, how do you write it in interval notation form?