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For how many positive integral values of a is it true that x = 2 is the only positive integer solution of the system of inequalities

 

2x > 3x - 3

8x - a > -6 + 2x

 Jul 4, 2022
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2x > 3x - 3                8x - a > -6 + 2x

3 > 3x - 2x                8x -2x  > -6 + a

3 > x                            6x > -6 + a

 

If x = 2  then  

 

6(2) > -6 + a

 

12 + 6 >  a

 

18 > a

 

 

17 positive integers

 

 

 

cool cool cool

 Jul 4, 2022

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