SOLUTION: Can anyone help this make sense, please?
|8x-17|<_24 (I guess that is<=24 but I'm not sure how to write that)
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Question 146055This question is from textbook Algebra For college students
: Can anyone help this make sense, please?
|8x-17|<_24 (I guess that is<=24 but I'm not sure how to write that)
This question is from textbook Algebra For college students
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
whenever you see absolute signs you must consider the negative, that is:
consider |x|
if x is positive
|x| = x
if x is negative
|-x| = x
.
first case:
8x-17 <= 24
8x <= 41
x <= 41/8
.
second case:
-(8x-17) <= 24
17 - 8x <= 24
-8x <= 7
x >= 7/8
.
therefore
7/8 <= x <= 41/8
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