Question

25 баллов
Помогите, задание прикрепил

Answer 1

$-log_2(x^2+7x+10) textgreater -log_24\ log_2(x^2+7x+10) textless log_24 \ begin{cases} x^2+7x+10 textgreater 0 \ x^2+7x+10 textless 4 end{cases} textless = textgreater begin{cases} (x+2)(x+5) textgreater 0 \ x^2+7x+6 textless 0 end{cases} textless = textgreater \ begin{cases} (x+2)(x+5) textgreater 0 \ (x+1)(x+6) textless 0 end{cases} textless = textgreater begin{cases} x in (- infty; -5) cup (-2; infty); \ x in (-6; -1) end{cases} = textgreater \ x in (-6;-5) cup (-2;-1)$
Ответ: (-6;-5)U(-2;-1)