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

The equation has no solutions

Step-by-step 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