Question

Как решить (3-sqrt(10-x))(sqrt(x)-2) < 0?

Answer 1

$(3-sqrt{10-x})(sqrt{x}-2)<0; ,; ; ODZ:; left { {{10-xgeq 0} atop {xgeq 0}} right. ; left { {{xleq 10} atop {xgeq 0}} right. ; to ; 0leq xleq 10\\a); ; left { {{3-sqrt{10-x}>0} atop {sqrt{x}-2<0}} right. ; left { {{sqrt{10-x}<3} atop {sqrt{x}<2}} right. ; left { {{10-x<9} atop {x<4}} right. ; left { {{x>1} atop {x<4}} right. ; left { {{1<x<4} atop {0leq xleq 10}} right. ; to ; 1<x<4$

$b); ; left { {{3-sqrt{10-x}<0} atop {sqrt{x}-2>0}} right. ; left { {{sqrt{10-x}>3}} atop {sqrt{x}>2}} right. ; left { {{10-x>9} atop {x>4}} right. ; left { {{x<1} atop {x>4}} right. ; ; to ; ; xin varnothing \\Otvet:; ; xin (1,4); .$