+0  
 
-2
18
1
avatar+819 

Find the largest integral value of $x$ which solves: $\frac{1}{3}<{\frac{x}{5}}<{\frac{7}{8}}$

 Aug 8, 2023
 #1
avatar+128397 
+1

Breaking into parts

 

1/3 < x / 5   cross-multiply

 

5 / 3 < x     so x >  5/3

 

Also

 

x / 5 < 7/8   cross-multiply

 

8x < 35

 

x < 35 / 8

 

The solution  is     5 / 3 < x < 35 / 8

 

The largest integral value of  x  is   32 / 8  =   4

 

cool cool cool

 Aug 8, 2023

5 Online Users

avatar
avatar