Question

Which of the following is the solution to |x| +5 = -6 C. x<= -4\ D. All values are solutions

Answer 1

Answer:

There is no solution to $|x| +5 = -6$

Step-by-step explanation:

That's because when you use $|x|$ that means you want the absolute value, which makes all numbers that are put into those to lines positive. The absolute value is used when you aren't using negative numbers or working with something that can't be in the negative. Think about it like a number line but the negative side to the left doesn't exists.

If you try plugging in -11 which would normally make that -6, it will change it from -11 to positive 11.

$|-11| +5 = -6\\11+5=-6$

Anything you put into absolute value will be positive. So you won't be able to get -6 with this formula because you'll always be adding and to get -6 you need to subtract.