Question

4) [ x/5 - 2/3 < 2/5 - x/3 , | 2/7 + x/3 > x/7 - 2/3 это пример с 977 номера помогите пж все баллы отдам ​СРОЧНОООО

Answer 1

$\displaystyle\bf\\\left \{ {{ \frac{x}{5} - \frac{2}{3} < \frac{2}{5} - \frac{x}{3} \: \: | \times 15 } \atop { \frac{2}{7} + \frac{x}{3} > \frac{x}{7} - \frac{2}{3} \: \: | \times 21 }} \right. \\ \displaystyle\bf\\\left \{ {{3x - 10 < 6 - 5x} \atop {6 + 7x > 3x - 14 }} \right. \\ \displaystyle\bf\\\left \{ {{3x + 5x < 6 + 10} \atop {7x - 3x > - 14 -6 }} \right. \\ \displaystyle\bf\\\left \{ {{8x < 16 \: \: | \div 8} \atop {4x > - 20 \: \: | \div 4 }} \right. \\ \displaystyle\bf\\\left \{ {{x < 2} \atop {x > - 5 }} \right. \\ \\ otvet \: \: \: \: x \: \in \: ( - 5 \: ; \: 2)$