Question

5/7<x/8<6/7

Answer 1

\(\dfrac{5}{7}< \dfrac{x}{8}< \dfrac{6}{7}\)

\(\dfrac{40}{56}< \dfrac{7x}{56}< \dfrac{48}{56}\)

40<7x<48

x=6

Answer 2

​\(\dfrac{5}{7}< \dfrac{x}{8}< \dfrac{6}{7}\)

\(\Leftrightarrow\dfrac{35}{56}< \dfrac{7x}{56}< \dfrac{42}{56}\)

\(\Leftrightarrow7x\in\left\{36;37;38;39;40;41\right\}\)

hay \(x\in\left\{\dfrac{36}{7};\dfrac{37}{7};\dfrac{38}{7};\dfrac{39}{7};\dfrac{40}{7};\dfrac{41}{7}\right\}\)