Question

Need Help With Absolute Value? Solve for x: −5|x + 1| = 10 Is There No solution or 2 solutions???

Answer 1

-5x+1=10
+5
X+1=10
-1. -1
X=9
Does that help? Or did I just not understand what you were asking?

Answer 2

@chemicaleve No, you see the lines on the side mean absolute value, I need to know how many solutions this equation has

Answer 3

@CShrix Can you help me?

Answer 4

There would be two solutions due to the absolute value. To get rid of the absolute value, we could have to include both positive and negative values because of the following relationship:

|-x|=x
|x|=x
Here you can see that x may contain both a positive and negative value. Since we are not specified a certain interval, then we say that x may contain 2 solutions.

Answer 5

Ok, because I was confused when they said only a positive number was the absolute value. Thanks

Answer 6

If you wanted to solve it, here is the process (it may help your understanding a little better):
\[-5|x+1|=10 \rightarrow |x+1|=-2\]\[x+1=\pm(-2)=\pm2\]\[x=2-1=1\]\[x=-2-1=-3\]

Answer 7

The second solution would be positive 1 correct?

Answer 8

1 and -3 are both solutions.

Answer 9

Thank you.

Answer 10

No solution exists