|10x - 1| = x - 10

Question

A. -1, 1
B. 1
C. -1
D. No solution

Answer 1

D. No solution

Answer 2

then either

10x-1=x-10 OR -10x +1 = x-10
9x = -9 or -11x = -11
x = -1 or x = +1

BUT, by definition |of anything| ≥0
so x-10≥0
x ≥ 10

So there is no solution

Answer 3

thank you