Question

Which compound inequality could be represented by the graph?



–4 ≤ x ≤ 4
–2 ≤ x ≤ –1
x ≤ –1 or x ≥ 0
x ≤ 3 or x ≥ –1

Answer 1

I don't see the graph — could you upload it or describe the shading and the endpoint markers (filled or open) and their x-values?

Meanwhile, here is how to match each choice to a graph:

- –4 ≤ x ≤ 4: a single filled segment from x = −4 to x = 4 (closed endpoints).
- –2 ≤ x ≤ –1: a short filled segment from x = −2 to x = −1 (closed endpoints).
- x ≤ −1 or x ≥ 0: two rays: everything left of −1 (including −1) and everything right of 0 (including 0), with a gap between −1 and 0.
- x ≤ 3 or x ≥ −1: this union covers all real numbers (because (−∞,3] ∪ [−1,∞) = (−∞,∞)), so the graph would be the entire number line.

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