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What is the product of all positive integers $n$ that satisfy the inequalities $3n + 8 < 30$ and $2n - 9 > -4$?

 Aug 4, 2022
 #1
avatar+2446 
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SOlve both like equations, and the solutions will be in the overlapping regions. 

 Aug 4, 2022
 #2
avatar+124596 
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3n + 8 < 30            2n  - 9  >   -4

3n < 22                  2n >   5

n < 22/3                  n > 5/2

 

The integers  that  satisfy this  system  are { 3 , 4 , 5 , 6 , 7}

 

Their product =  2520

 

cool cool cool

 Aug 4, 2022

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