Which lists all the integer solutions of the equation |x| = 10?
a. -10 only
b. 0 and 10
c. 10 only
d. -10 and 10

[x]=10
we have two equations:
1)
x=10
2)
-x=10
x=-10

Therefore, the answer is:
D.  -10 and 10

Modulus (x) = 10

Modulus means we just take size of x neglecting the positive or negative sign.

But this how you solve modulus equation.

x = 10         This is the first part, which is the positive part.

Also for the negative part:

-x = 10        Divide both sides by -1. 

x = -10

So the solutions are 10 and -10.  (D)