Question

Need help with
|x-5|+5<8 show the steps please

Answer 1

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

Answer 2

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

Answer 3

ok thanks xokatexo

Answer 4

your welcome<3

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

where did the 8 come from?

Answer 9

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

Answer 10

oh ok I forgot about the 8

Answer 11

thanks!

Answer 12

;-)

Answer 13

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

Answer 14

I gave you one for effort!

Answer 15

omg thanks! my first one!

Answer 16

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

Answer 17

xoxx<3

Answer 18

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