Question

Which value is in the solution set of |x|+9=-2

A) x= 11
B) x= -11
C) the equation has no solutions
D) the equation has infinitely many solutions

Answer 1

The equation has no solutions

Explanation:

If we re arrange the equation a little more we will obtain the following

|x|=-11

Which is a contradiction since, the |x| is always a positive number

Attached is the representation of this function y= |x|

It means, that it doesnt matter what value 'x' has, the answer is the same number but, positive