-5 < a - 4 < 2
solving for a
a - 4 > - 5
a > -1 and
a - 4 < 2
a < 6
So the correct solution set is the third one.
Answer:
The answer is the third one: (-1,6)
Step-by-step explanation:
In order to determine the answer, we have to know about inequality. An inequality is a mathematical expression where the variable can take different values as solution. The range of solution is determined by the boundary values.
In this case, we have the following inequality:
[tex]-5<a-4<2[/tex]
We can add +4 to the entire inequality:
[tex]-5+4<a-4+4<2+4\\-1<a<6[/tex]
Then, the variable "a" has a range of solution between -1 and 6, without taking these values.
Finally, the graph that represents the solution set is the third one: (-1,6)
