Question

Найдите множество натуральных решений неравенств:а)х/17<8/51 б)х/65<1/13 в)х/5<3/15 г)1/16<х/8 д)5/12>х/24

Answer 1

$displaystyle a)&,,frac{x}{17} textless frac{8}{51}\\x textless frac{17*8}{51}\\x textless frac{8}3\\x= {1,,2}$

$displaystyle b)&,,frac{x}{65} textless frac{1}{13}\\x textless frac{65}{13}\\x textless 5\\x= {1,,2,,3,,4}$

$displaystyle B)&,,frac{x}{5} textless frac{3}{15}\\x textless frac{3*5}{15}\\x textless 1\\x= {varnothing}$

$displaystyle g),,frac{1}{16} textless frac{x}{8}\\x textgreater frac{8}{16}\\x textgreater frac{1}2\\xin N$

$displaystyle d),,frac{5}{12} textgreater frac{x}{24}\\x textless frac{5*24}{12}\\x textless 5*2\\x textless 10\\x={1,,2,,3,,4,,5,,6,,7,,8,,9}$