Question

Решите неравенство, много балов $( frac{1}{2} )^ frac{2x-3}{4} textgreater 4$

Answer 1

$(dfrac{1}{2})^{ frac{2x-3}{4}} textgreater 4 \ \ 2^{ frac{3-2x}{4}} textgreater 2^2 \ \ dfrac{3-2x}{4} textgreater 2 \ \ 3-2x textgreater 8 \ \ 2x textless -5 \ \ x textless - dfrac{5}{2}$

Ответ: $x in (-infty; - dfrac{5}{2})$

Answer 2

$( frac{1}{2} )^ frac{2x-3}{4} textgreater 4$

$2^ {(-frac{2x-3}{4})} textgreater 2^2 \ \ -frac{2x-3}{4} textgreater 2 \ \ frac{3-2x}{4} textgreater 2 \ \ {3-2x} textgreater 8 \ \ -2x} textgreater 5 \ \ x textless - 2,5$

Ответе: $x textless - 2,5$