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Vitek1552 [10]
4 years ago
5

What is the solution set of the compund inequality x+1<-2x+11<3x+5?

Mathematics
1 answer:
saw5 [17]4 years ago
4 0

Answer:

It is impossible for a number to be both less than 1 and greater than or equal to 3,  so the compound inequality has NO SOLUTION.  

Step-by-step explanation:

The word "and" tells us that we are looking for all values of x that satisfy BOTH inequalities simultaneously.  

 

3x + 5 < 8     and    2x + 5 ≥ 11

 

     3x < 3      and           2x ≥ 6

 

       x < 1       and            x ≥ 3

 

It is impossible for a number to be both less than 1 and greater than or equal to 3,  so the compound inequality has NO SOLUTION.  

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