Question

Помогите решить с помощью системы.

Answer 1

$1); ; frac{sqrt{36-x^2}cdot log_{0,5}x}{x-2} leq 0\\ODZ:; ; left { {{36-x^2geq 0; ,} atop {x>0; ,; xne 2}} right. ; ,; left { {{x^2-36leq 0; ,} atop {x>0; ,; xne 2}} right. ; left { {{(x-6)(x+6)leq 0} atop {x>0; ,; xne 2}} right. ; left { {{xin [-6,6, ]} atop {x>0; ,; xne 2}} right. ; ; Rightarrow \\underline {; xin (0,2)cup (0,6, ]; }$

$Tak; kak; ; sqrt{36-x^2}geq 0; ,; to\\\left{begin{array}{ccc}log_{0,5}, xgeq 0\x-2<0\xin (0,2)cup (0,6, ]end{array}right; ; ili; ; left{begin{array}{ccc}log_{0,5}, xleq 0\x-2>0\xin (0,2)cup (0,6, ]end{array}right \\\left{begin{array}{ccc}xleq 1\x<2\xin (0,2)cup (2,6, ]end{array}right ; ; ili; ; left{begin{array}{ccc}xgeq 1\x>2\xin (0,2)cup (2,6, ]end{array}right \\\.; ; ; ; ; xin (0,1, ]qquad qquad quad iliqquad qquad xin (2,6, ]\\Otvet:; ; xin (0,1, ]cup (2,6, ]$

$2); ; log_{0,2}(x-2)+log_{0,2}, x>log_{0,2}(2x-3)\\ODZ:; ; left { {{x-2>0; ,; x>0} atop {2x-3>0}} right. ; ; left { {{x>2; ,; x>0} atop {2x>3}} right. ; ; left { {{x>2} atop {x>1,5}} right. ; ; Rightarrow ; ; underline {; x>2; }\\log_{0,2}, (x-2), x>log_{0,2}(2x-3)\\left { {{(x-2), x<2x-3} atop {x>2}} right. ; ; left { {{x^2-4x+3<0} atop {x>2}} right. ; ; left { {{(x-1)(x-3)<0} atop {x>2}} right. ; ; left { {{xin (1,3)} atop {x>2}} right.; ; Rightarrow \\Otvet:; ; xin (2,3); .$

Answer 2

Гений