Question

5. Resolva a inequação (foto)

Answer 1

(2X - 1)/3 + 5( X - 1 ) < ( X - 1) ( X + 2) - (13 - X)/3
( 2X - 1)/3 + ( 5X - 5)/2 < ( X² + X - 2)/1 - ( 13 - x )/3
mmc = 6
2( 2x - 1)  + 3( 5x - 5) < 6( x² + x -2) - 2( 13 - x )
4x - 2 + 15x - 15 < 6x² + 6x - 12 - 26 + 2x
19x - 17 < 6x² + 8x - 38
19x - 6x² - 8x < -38 + 17
-6x² +11x < -21
-6x² + 11x +21 < 0
6x² - 11x - 21 > 0
delta = 121 + 504 =625 ou +-V625 = +-25

x= ( 11 +-25)/12
x1 = 36/12 = 3 ****
x2 = - 14/12 = - 7/6 ***