Question

Rezolvă în R sistemele de inecuații:
a)(7x-324x-7
5x – 2(2x+3) >-7+3x
b)(x+3(5 – 2x)<5x-3
12x - 422(6x – 8)​

Answer 1

$\left(7x-324x-75x\:-\:2\left(2x+3\right)\:>\:-7+3x\right)$

$-392x-2\left(2x+3\right)>-7+3x$

$-392x-4x-6>-7+3x$

$-396x-6>-7+3x$$-396x-6+6>-7+3x+6$

$-396x>3x-1$

$-396x-3x>3x-1-3x$

$-399x>-1$

$\left(-399x\right)\left(-1\right)<\left(-1\right)\left(-1\right)$

$399x<1$

$\frac{399x}{399}<\frac{1}{399}$

$x<\frac{1}{399}$

b) $x+3\left(5-2x\right)<5x-312x-422\left(6x-8\right)$

$x+3\left(5-2x\right)<-307x-422\left(6x-8\right)$

$-5x+15<-307x-2532x+3376$

$-5x+15<-2839x+3376$

$-5x+15-15<-2839x+3376-15$

$-5x<-2839x+3361$

$-5x+2839x<-2839x+3361+2839x$

$2834x<3361$

$\frac{2834x}{2834}<\frac{3361}{2834}$

$x<\frac{3361}{2834}$

Sper că te-am ajutat!

Succes!