Question

5x-2/3-3-x/2 больше или равно 1

Answer 1

$frac{5x-2}{3}- frac{3-x}{2} geq 1$
$frac{5x-2}{3}*6 - frac{3-x}{2} *6 geq 1*6$
$2(5x-2)-3(3-x) geq 6$
10x - 4 - 9 + 3x ≥ 6
13x ≥ 6+13
13x ≥ 19
$x geq 1 frac{6}{19}$
x ∈ [$1 frac{6}{19}$ ;+∞)