Question

resolva en R as seguites informações 2(3-x)/5+x/2>1/4+2(x-1)/3

Answer 1

Ola 

2*(3 - x)/5 + x/2 > 1/4 + 2*(x - 1)/3

mmc(2,3,4,5) = 60

24*(3 - x) + 30x > 15 + 40*(x - 1)

72 - 24x + 30x > 15 + 40x - 40

30x - 24x - 40x > 15 - 40 - 72

-34x > -97 

34x < 97

x < 97/34 



 

Answer 2

$2*\frac{(3-x)}{5} + \frac{x}{2} \ \textgreater \ \frac{1}{4} + 2* \frac{(x-1)}{3}$

Fazemos o MMC: $2, 3, 4, 5= 60$.

$24*(3 - x) + 30x \ \textgreater \ 15 + 40*(x - 1) \\ \\ 72 - 24x + 30x \ \textgreater \ 15 + 40x - 40 \\ \\ 30x - 24x - 40x \ \textgreater \ 15 - 40 - 72 \\ \\ -34x \ \textgreater \ -97 \\ \\ 34x \ \textless \ 97 \\ \\ x \ \textless \ \frac{97}{34}$