Question

 

Tìm x

a)\(\frac{1}{3}+\frac{3}{35}< \frac{x}{210}< \frac{7}{7}+\frac{3}{5}+\frac{1}{3}\)

b)\(\frac{5}{3}+-\frac{14}{3}< x< \frac{8}{5}+\frac{8}{10}\)

 

Answer 1

a) \(\frac{1}{3}+\frac{3}{35}< \frac{x}{210}< \frac{7}{7}+\frac{3}{5}+\frac{1}{3}\)

\(\Rightarrow\frac{44}{105}< \frac{x}{210}< \frac{29}{15}\)

\(\Rightarrow\frac{88}{210}< \frac{x}{210}< \frac{406}{210}\)

\(\Rightarrow x\in\left\{89;90;91;...;405\right\}\)

b) \(\frac{5}{3}+-\frac{14}{3}< x< \frac{8}{5}+\frac{8}{10}\)

\(\Rightarrow-3< x< 2\frac{2}{5}\)

=> x thuộc {-2;-1;0;1;2} ( nếu x là số nguyên)