Answer:
-4 < x < 6
Step-by-step explanation:
We need to represent all the numbers between -4 and 6, that is -3, -2, -1, 0, 1, 2, 3, 4 and 5.
They are all greater than -4. We generalize it as -4 < x (x is greater than -4).
On the other hand, 6 is greater than all of them, that is x < 6.
As we need to write it as a compound inequality, we just combine the two inequalities we have:
-4 < x < 6 (we write the x just once)
If we want to add the -4 and the 6 in the inequality, we just include them with the appropriate sign:
[tex]-4 \leq x \leq 6[/tex]
