Question

Rezolvați in R ecutia:
$\frac{15}{7} \times x - \frac{1}{12} > \frac{7}{4}$
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Answer 1

Răspuns:

$\frac{15}{7} \times x - \frac{1}{12} > \frac{7}{4} \\ \frac{15x}{7} > \frac{7}{4} + \frac{1}{12} \\ \frac{15x}{7} > \frac{21 + 1}{12} \\ \frac{15x}{7} > \frac{22}{12} \\ \frac{15x}{7} > \frac{11}{6} \\ \frac{90x}{42} > \frac{77}{42} \\ 90x > 77 \\ x > 77 \div 90 \\ x > \frac{77}{90}$

$s = ( \frac{77}{90} ,+ \infty )$