Question

Which compound inequality is represented by the graph?



–2 < x ≤ 4
–2 ≤ x < 4
x < –2 or x ≥ 4
x ≤ –2 or x > 4

Answer 1

I can’t see the graph — could you upload it or describe it (where the shading is and whether the dots at −2 and 4 are open or closed)?

Meanwhile, here’s how to match a graph to an option:

- If the number line is shaded between −2 and 4:
- open circle at −2 and filled/closed dot at 4 → −2 < x ≤ 4 (option 1)
- closed dot at −2 and open circle at 4 → −2 ≤ x < 4 (option 2)

- If the number line is shaded outside (to the left of −2 and to the right of 4):
- open circle at −2 and closed dot at 4 → x < −2 or x ≥ 4 (option 3)
- closed dot at −2 and open circle at 4 → x ≤ −2 or x > 4 (option 4)

Send the image or a short description and I’ll pick the correct option.