Question

(x-11)^{2} <$\sqrt{5}$*(x-11)

Answer 1

(x-11)² < √5 (x-11)
(x-11)² - √5(x-11) <0
(x-11)(x-11-√5) <0
x=11    x=11+√5
     +                  -                        +
---------- 11 ------------ 11+√5 --------------
                \\\\\\\\\\\\\\\\\\\\\\\\
x∈(11; 11+√5)