SOLUTION: Hi, I was wondering if you could please help me with an absolute value question please? I did the math and got -5 and 5 and it is an "or" line but they both equal the equation. The

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Question 892208: Hi, I was wondering if you could please help me with an absolute value question please? I did the math and got -5 and 5 and it is an "or" line but they both equal the equation. The problem is |3x| > 15. I did this:
3x>15 Or 3x>-15
3x/3> 15/3 3x/3>-15/3
x>5 x> -5
The problem is that they both equal 15 & the problem is >15
Found 3 solutions by josgarithmetic, lwsshak3, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!






An absolute value will always be positive or zero; never negative.

IF THEN
.

IF THEN

-----multiplied by -1 on both sides must cause reversal of inequality direction

Draw a number line and label with -5, 0, and 5, so you can see clearly. Graph and . You will see that the solution which satisfies BOTH conditions is or, the open interval between -5 and +5.
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
|3x| > 15
2 cases:
..
3x>15
x>5
..
-3x>15
3x<-15
x<-5
solution:
x>5 or x<-5
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hi, I was wondering if you could please help me with an absolute value question please? I did the math and got -5 and 5 and it is an "or" line but they both equal the equation. The problem is |3x| > 15. I did this:
3x>15 Or 3x>-15
3x/3> 15/3 3x/3>-15/3
x>5 x> -5
The problem is that they both equal 15 & the problem is >15


|3x| > 15

Thus, 3x > 15                   OR               3x < - 15

You should get:           OR                 

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