Ushtrimi 4 | 9D | Matematika 9 | Zgjidhje Ushtrimesh

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$\dfrac{3(x+2)}{4} < 9$ $\rArr$ $\cancel4 \times \dfrac{3(x+2)}{\cancel{4}} < 9 \times 4$ $\rArr$ $3(x+2)<36$ $\rArr$ $3x+6 < 36$ $\rArr$ $3x<36-6$ $\rArr$ $3x<30$ $\rArr$ $\dfrac{\cancel3x}{\cancel3} < \dfrac{30}{3}$ $\rArr$ $x<10$
$\dfrac{2x-3}{5} > x$ $\rArr$ $\cancel5 \times \dfrac{2x-3}{\cancel5} > x \times 5$ $\rArr$ $2x-3>5x$ $\rArr$ $-3>5x-2x$ $\rArr$ $-3>3x$ $\rArr$ $\dfrac{-3}{3} > \dfrac{\cancel3x}{\cancel3}$ $\rArr$ $-1 > x$ $\rArr$ $x<-1$
$\dfrac{x+3}{6}+x < \dfrac{3x-1}{2}$ $\rArr$ $\cancel6 \times \dfrac{x+3}{\cancel6} + 6 \times x < \cancel6 \times \dfrac{3x-1}{\cancel2}$ $\rArr$ $x+3+6x < 3 \times (3x-1)$ $\rArr$ $7x+3 < 9x-3$ $\rArr$ $3+3 < 9x-7x$ $\rArr$ $6<2x$ $\rArr$ $\dfrac{6}{2} < \dfrac{\cancel2x}{\cancel2}$ $\rArr$ $3<x$ $\rArr$ $x>3$