Question

Чему равна сумма целых решений данной системы неравенств?

Answer 1

2x<13.5-2/3=27/2-2/3=77/6
x<77/12=6 5/12
6x>7-1/3=20/3
x>10/9=1 1/9
x є [1 1/9;6 5/12]
Целые решения 2;3;4;5;6
Сума=2+3+4+5+6=20

Answer 2

$\left \{ {{3x-13,5\ \textless \ x- \frac{2}{3} } \atop {7x-7\ \textgreater \ x- \frac{1}{3} }} \right. \\\\ \left \{ {{3x-x\ \textless \ 13,5- \frac{2}{3} } \atop {7x-x\ \textgreater \ 7- \frac{1}{3} }} \right. \\\\ \left \{ {{2x\ \textless \ 12 \frac{5}{6} } \atop {6x\ \textgreater \ 6 \frac{2}{3} }} \right.\\\\[tex] \left \{ {{x\ \textless \ 6 \frac{5}{12} } \atop {x\ \textgreater \ 1 \frac{1}{9} }} \right.$

x ∈ $(1 \frac{1}{9} ;6 \frac{5}{12})$
2 + 3 + 4 + 5 + 6 = 20