Question

For which equations is x = 9 a possible solution? Check all that apply
|x| =9
-|x|=9
-|-x|=9
-|-x|=-9
|x|=-9
|-x|=9
|-x|=-9

Answer 1

Answer:

|x| =9           yes

-|x|=9           no

-|-x|=9          no

-|-x|=-9         yes

|x|=-9           no

|-x|=9            yes

|-x|=-9         no

Answer 2

x=9 is a possible solution for

• |x|=9
• -|-x|=-9
• |-x|=9

What is the modulus function?

A modulus function is a function that returns a number's or variable's absolute value. It generates the number's or the variable's magnitude.

It is represented by |x|.

How to solve the problem?

Let us check for each equation.

• |x|=9 is possible.
• -|x|=9 is not possible because -|x| must be negative.
• -|-x|=9  is not possible because -|-x| must be negative.
• -|-x|=-9  is possible because -|-x| must be negative here we took it to be -9.
• |x|=-9  is not possible because |x| must be positive but -9 is negative.
• |-x|=9 is possible because |-x| must be positive.
• |-x|=-9 is not possible because |-x| must be positive while -9 is negative.

Hence among the possible equations, x=9 is a possible solution for

• |x|=9
• -|-x|=-9
• |-x|=9

Learn more about the modulus function in- https://brainly.com/question/13103168?referrer=searchResults

#SPJ2