Question

the number line shows the solution of which of the following inequalities? the circle is closed and sits on -2 with the arrow pointing to the left. 9+m less than or equal to 11, 11+ m greater than or equal to 9, 9+ m greater than or equal to 11, 11+ m less than or equal to 9

Answer 1

The graph shows m ≤ -2 (closed dot at -2, arrow left). Solve each:

- 11 + m ≤ 9 → m ≤ -2 — matches the graph.
- (For contrast) 9 + m ≤ 11 → m ≤ 2 (dot at 2, left), 11 + m ≥ 9 → m ≥ -2 (dot at -2, right), 9 + m ≥ 11 → m ≥ 2 (dot at 2, right).

So the correct inequality is 11 + m ≤ 9.