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Rezolvati in R inecuatia:

[tex] \frac{3x + 11}{6} + \frac{x - 7}{2} < \frac{5x - 1}{12} - 2 \frac{1}{6} [/tex]
Va rog rezolvare completa!


Răspuns :

( 3x + 11 )/6 + ( x - 7 )/2 < ( 5x - 1 )/12 - 2 1/6
( 3x + 11)/6 + ( x - 7 )/2 
< ( 5x - 1 )/12 - 13/6
2( 3x + 11 ) + 6( x - 7 ) 
< 5x - 1 - 26
6x + 22 + 6x - 42 
< 5x - 27
12x + 22 - 42 
< 5x - 27
12x - 20 
< 5x - 27
12x - 5x - 20 
< - 27
12x - 5x < - 27 + 20
7x 
< - 27 + 20
7x 
< - 7
< - 7 : 7
< - 1 
Am atașat o rezolvare !
Vezi imaginea ALITTA