Question

неравенства с корнями, задания(3) в закрепе

Answer 1

$sqrt{2x-1} textgreater 2x-3\\1)quad left { {{2x-3 textgreater 0} atop {2x-1 textgreater 4x^2-12x+9}} right. ; left { {{x textgreater frac{3}{2}} atop {4x^2-14x+10 textless 0}} right. ; left { {{x textgreater 1,5} atop {2x^2-7x+5 textless 0}} right. \\2x^2-7x+5=0; ,; ; D=49-40=9,; x_1=2,5; ;; x_2=1\\+++(1)---(2,5)+++\\xin (1;, 2,5); ; ; left { {{x textgreater 1,5} atop {xin (1, ;; 2,5)}} right. ; to ; ; xin (1,5; ;; 2,5)\\ili$

$2); ; left { {{2x-1 textgreater 0} atop {2x-3 textless 0}} right. ; left { {{x textgreater frac{1}{2}} atop {x textless frac{3}{2}}} right.; left { {{x textless 1,5} atop {x textgreater 0,5}} right. ; to ; xin (0,5; ;; 1,5)$

$Otvet:; ; xin (0,5, ;, 1,5)cup (1,5; ;2,5)$