Решите неравенсво(ХЕЛП)Задание на фото. Created by vanyaevsik. algebra-ru

(a - 1)(36 - a) > 0- (a - 1)(a - 36) > 0(a - 1)( a - 36) < 0 + - +______________________ 1 36 ////////////////////x > 0x < 2Ответ : x ∈ (0 ; 2)

Решите неравенсво(ХЕЛП)Задание на фото...

MizoriesKun $(6 ^{x} -1)(36 - 6 ^{x} )\ \textgreater \ 0$
$6 ^{x} =a \ \textgreater \ 0$
(a - 1)(36 - a) > 0
- (a - 1)(a - 36) > 0
(a - 1)( a - 36) < 0
   +           -                    +
______________________
        1                 36
        ////////////////////
$6 ^{x} \ \textgreater \ 1$
$6 ^{x} \ \textgreater \ 6 ^{o}$
x > 0
$6 ^{x } \ \textless \ 36$
$6 ^{x} \ \textless \ 6 ^{2}$
x < 2
Ответ : x ∈ (0 ; 2)

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Verified answer

(6ˣ-1)(36-6ˣ)>0
1.
(6ˣ-1)>0 6ˣ >1 6ˣ >6⁰ x>0
(36-6ˣ)>0 36>6ˣ 6²> 6ˣ x<2
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
_____0_________2___________
////////////////////////////////////////// x∈(0 ;2)

2.

(6ˣ-1) <0   6ˣ <1 6ˣ <6⁰ x<0
(36-6ˣ) <0 36<6ˣ 6²< 6ˣ  x>2

\\\\\\\\\\\\\\ ////////////////////
_______0_________2__________ x∈∅

Ответ :  x∈(0 ;2)

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