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In a set of four consecutive positive integers, the smallest integer is less than half the largest integer. What is the largest integer that could be in the set?

 Nov 1, 2019

Best Answer 

 #1
avatar+19832 
+2

Largest integer = x      smallest    < 1/2x        

 

smallest integer is  x - 3 

 

x-3 <1/2x

-3 < -1/2 x

3> 1/2 x

6 > x      or x < 6     the GREATEST x would be 5     (edited)

 Nov 1, 2019
edited by ElectricPavlov  Nov 1, 2019
edited by ElectricPavlov  Nov 1, 2019
 #1
avatar+19832 
+2
Best Answer

Largest integer = x      smallest    < 1/2x        

 

smallest integer is  x - 3 

 

x-3 <1/2x

-3 < -1/2 x

3> 1/2 x

6 > x      or x < 6     the GREATEST x would be 5     (edited)

ElectricPavlov Nov 1, 2019
edited by ElectricPavlov  Nov 1, 2019
edited by ElectricPavlov  Nov 1, 2019

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