Đáp án:
$\text{a) $\dfrac{1,5-x}{5}$ ≥ $\dfrac{4x+5}{2}$ }$
$\text{<=> $\dfrac{2(1,5-x)}{10}$ ≥ $\dfrac{5(4x+5)}{10}$ }$
$\text{<=> 2(1,5-x) ≥ 5(4x+5) }$
$\text{<=>3 - 2x ≥ 20x + 25 }$
$\text{<=>-2x-20x≥ 25 -3 }$
$\text{<=> -22x ≥ 22 }$
$\text{<=>x≤ 22 : (-22) }$
$\text{<=> x ≤ -1 }$
$\text{b) $\dfrac{2x-2}{3}$ > -2 + $\dfrac{x+2}{2}$ }$
$\text{<=> $\dfrac{2(2x-2)}{6}$ > $\dfrac{-12}{6}$ + $\dfrac{3(x+2)}{6}$ }$
$\text{<=> 2(2x-2) > -12 + 3(x+2) }$
$\text{<=>4x - 4 > -12 + 3x +6 }$
$\text{<=> 4x-3x > 6-12+4 }$
$\text{<=> x > -2 }$
