bonjour
( x - 3 ) ( 5 - 2 x ) < 0
x - 3 < 0 ⇔ x < 3
5 - 2 x < 0 ⇔ - 2 x < - 5 ⇔ x > 5/2
5/2 < x < 3
(3 - x ) ( 5 x - 4 )² > ( 3 - x )
( 3 - x ) ( 5 x - 4 )² - ( 3 - x ) > 0
( 5 x - 4 ) ( 5 x - 4 - 3 + x ) > 0
( 5 x- 4 ) ( 6 x - 7 ) > 0
5 x - 4 > 0 ⇔ 5 x > 4 ⇔ x > 4/5
6 x - 7 > 0 ⇔ 6 x > 7 ⇔ x > 7/6
( x + 1 )² - 9 x² > 0
( x + 1 - 3 x ) ( x + 1 + 3 x ) > 0
( - 2 x + 1 ) ( 4 x + 1 ) > 0
- 2 x + 1 > 0 ⇔- 2 x > - 1 ⇔ x > 1/2
4 x + 1 > 0 ⇔ 4 x > - 1 ⇔ x > - 1/4
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bonjour
( x - 3 ) ( 5 - 2 x ) < 0
x - 3 < 0 ⇔ x < 3
5 - 2 x < 0 ⇔ - 2 x < - 5 ⇔ x > 5/2
5/2 < x < 3
(3 - x ) ( 5 x - 4 )² > ( 3 - x )
( 3 - x ) ( 5 x - 4 )² - ( 3 - x ) > 0
( 5 x - 4 ) ( 5 x - 4 - 3 + x ) > 0
( 5 x- 4 ) ( 6 x - 7 ) > 0
5 x - 4 > 0 ⇔ 5 x > 4 ⇔ x > 4/5
6 x - 7 > 0 ⇔ 6 x > 7 ⇔ x > 7/6
( x + 1 )² - 9 x² > 0
( x + 1 - 3 x ) ( x + 1 + 3 x ) > 0
( - 2 x + 1 ) ( 4 x + 1 ) > 0
- 2 x + 1 > 0 ⇔- 2 x > - 1 ⇔ x > 1/2
4 x + 1 > 0 ⇔ 4 x > - 1 ⇔ x > - 1/4