SURENDRA K. answered 08/06/14
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1. 6x+24-3>=15
6x>=-6
x>=-1
2. -6x-24-3>=15
-6x>=42
x<=-7
so, the solution set is. -1<= x <= -7

SURENDRA K.
Hello Arthur,
It is the same thing I have written above.
No difference.
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08/06/14

Maureen A.
I agree with Arthur D.
Try graphing them to see the difference. <-----------o o---------------------> is x>-1
or x<-7
-7 -1
3|2x+8|-3>15 first add the three to both sides, then divide both sides by 3.
|2x+8|>6
2x+8>6 or 2x+8
< -6 then solve both inequalities
x>-1 x<-7
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08/06/14

Arthur D.
tutor
Hello SURENDRA,
-1<x<-7 means x is between -1 and -7 inclusive which is not true. The way it is written means that
x is greater than -1 but at the same time less than -7 which is impossible. The answer is an
OR solution, not an AND solution. Also, the way you have it written says -1<-7 which is false.
Arthur D.
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08/06/14
SURENDRA K.
Hello Arthur, Maureen
No confusion.
I should have written
x>=-1
x<=-7
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08/06/14
Arthur D.
08/06/14