Question

\(\dfrac{x+1}{2}+\dfrac{4\left(2-x\right)}{5}\le3x-\dfrac{9}{10}\)

Answer 1

\(\Leftrightarrow5\left(x+1\right)+8\left(2-x\right)< =30x-9\)

=>5x+5+16-8x<=30x-9

=>-3x+21<=30x-9

=>-33x<=-30

hay x>=10/11

Answer 2

\(\dfrac{5x+5}{10}+\dfrac{16-8x}{10}-\dfrac{30x}{10}+\dfrac{9}{10}\le0\)

\(\Leftrightarrow5x+5+16-8x-30x+9\le0\)

<=> 30 -33x \(\le0\)

=> x \(\le\dfrac{30}{33}=\dfrac{10}{11}\)