Question

What are the solutions of the equation? Graph and check the solutions.

| x | + 10 = 1

A. x = 9


B. x = 9 or x = –9


C. x = 0


D. no solution

Answer 1

You made a typo above ^. D is the correct answer.

Answer 2

x+10=1
x=-9

or

-x+10=1
-x=-9
x=9

However, when you plug in x as -9 or 9, the equation is false. Therefore, there is no solution. If you think about it, there is no way you can add 10 to a positive number and have the result be smaller than 10.