SOLUTION: -17<3+10x_<33 This is my problem This is what I came up with but I'm not sure how to plot it as an interval notation and I'm not sure if my answer is correct. -17<3+10x

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Question 696954: -17<3+10x_<33 This is my problem
This is what I came up with but I'm not sure how to plot it as an interval notation and I'm not sure if my answer is correct.
-17<3+10x_<33
-17-3<3-3+10x_<33-3
-20<10x_<30
-20/10<10x/10_<30/10
-2 5x+3_<-2 or 13-x_<6
5x+3-3_<-2-3
5x_<-5
5x/5_<-5/5
x_<-1
or
13-x_<6
13-13-x_<6-13
-x_<-7
-x/-1_<-7/-1
x_>7
Found 2 solutions by lwsshak3, MathLover1:
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
-17<3+10x≤33
add (-3) to each term
-20<10x≤30
divide each term by 10
-2 < x ≤ 3
number line:
<......(-2<==>3]..........>
solution: (-2, 3]

Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

10x_ it's not clear what that underscore next to means, if it is a typo, and you have
, than

so, solutions are ,,,

SOLUTION: -17<3+10x_<33 This is my problem This is what I came up with but I'm not sure how to plot it as an interval notation and I'm not sure if my answer is correct. -17<3+10x_<33 -17-