Question

Подробно пожалуйста)

Answer 1

Решено $checkmark$

С учетом ОДЗ:

x∈[0; 1)U(1; 9]

Answer 2

$frac{1-x}{1-sqrt{x}}geq x-5; ,; ; ODZ:; ; 1-sqrt{x}ne 0; ,; ; xne 1; ;; xgeq 0\\frac{(1-sqrt{x})(1+sqrt{x})}{1-sqrt{x}}geq x-5\\1+sqrt{x}geq x-5\\t=sqrt{x}geq 0; ,; ; 1+tgeq t^2-5\\t^2-t-6leq 0; ,; ; t_1=-2; ,; ; t_2=3\\(x-3)(t+2)leq 0\\+++(-2)---(3)+++\\tin [-2,3]\\left { {{tin [-2,3]} atop {tgeq 0}} right. ; ; to ; ; tin [, 0,3]; ; Rightarrow \\left { {{sqrt{x}geq 0; ,; xne 1} atop {sqrt{x}leq 3}} right. ; ; left { {{xgeq 0; ,; xne 1} atop {xleq 9}} right. \\xin [, 0,1)cup (1,9, ]$