Question

Which compound inequality is represented by the graph?


–11.25 < x ≤ –8.75
x –11.25 or x > –8.75
–8.75 x < –11.25
x < –8.75 or x –11.25

Answer 1

I don't see the graph — could you upload it or describe the shading and the dots at -11.25 and -8.75 (open or closed)?

If the graph shows shading only between the two points with an open dot at -11.25 and a closed dot at -8.75, the correct inequality is
-11.25 < x ≤ -8.75.

If instead the graph shades everything left of -8.75 (or everything right of -11.25), or shades the outside of the interval, tell me which direction(s) are shaded and whether each endpoint is open/closed and I will pick the matching option.