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Find the largest integral value of x which solves: 13<x5<78

 Aug 8, 2023
 #1
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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

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