What is the graph of the solution set of the compound inequality?

-5

Question

What is the graph of the solution set of the compound inequality? 
   
       -5 < a - 4 < 2

hero · Answer

You are given:
-5 < a - 4 < 2


Now add 4 to each side:
4 - 5 < a < 2 + 4

And then simplify that

hero · Answer

You should get a result where 
4 - 5 = b
2 + 4 = c

and 

b < a < c

In other words, a is the range of values $\color\green{\text{between}}$ b and c

anonymous · Answer

What would it look like on a number line?

hero · Answer

If you don't understand that, then perhaps you can learn by example:

Suppose you had

-3 < x - 7 < 8

Then you would add 7 to each side to get

7 - 3 < x < 8 + 7

And after simplification you get


4 < x < 15

So x is between 4 and 15

Then you could represent that on a graph:

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