Question

solve the linear inequality.
6(x+10)-15<45+10(2+x)
pit solution set in set builder notation and interval notation

Answer 1

expand both sides (multiply brackets out), and i will give next step :)

Answer 2

6x+45<65+10x

Answer 3

then put x's on 1 side and numbers on the other

Answer 4

-4x<20

Answer 5

isolate x

Answer 6

x<-5,

Answer 7

or is it x>-5

Answer 8

sets are define with brackets; how i learned it; (these brackets) represent open interval; and [these brackets] represent closed interval.

since x is less than -5, we can say that x \[\in\] (inf, -5)

infinity is always in an open bracket since it is not a number an can not be included.
-5, in this case is in an open bracket because it is not included in the set.

Answer 9

lol, correction : \[x \in (-5, \inf)\]

Answer 10

how do you write it in set builder notation

Answer 11

6(x+10)-15 < 45+10(2+x)
6x+60-15 < 45+20+10x
6x+45 < 65+10x
4x < 20
X < 5

Answer 12

if x < 5 , the notation is either (-inf. 5) or ]-inf, 5[

Answer 13

great thank you

Answer 14

medalssssss.. .??