Respuesta :

9514 1404 393

Answer:

  -1 < x < 5

Step-by-step explanation:

The open circle at -1 and the shading to its right tells you ...

  -1 < x

The open circle at 5 and the shading to its left tells you ...

  x < 5

Both of these are true together, so the compound inequality representing that is ...

  -1 < x < 5

_____

Additional comments

If the circle were filled, the relation would include the "or equal to" case: ≤.

I like to use the "left-pointing" relation symbols (<, ≤) because they put the numbers and variables in the same relationship they are on the number line. That is, -1 is on the left end of the shaded segment; the shading (variable value) is in the middle, and 5 is on the right end--the same as ...

  -1 < x < 5