+0  
 
0
258
2
avatar

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+2666 
0

SOlve both like equations, and the solutions will be in the overlapping regions. 

 Aug 4, 2022
 #2
avatar+128053 
+1

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

3 Online Users