Option C:
x < –2 (or) x ≥ 4
Solution:
To find which compound inequality is represented by the graph:
Note:
If the circle is filled, then use ≤ or ≥.
If the circle is not filled, then use < or >.
In the given graph,
–5, –4, –3 are lesser than –2 and 5 is greater than 4.
–2 > x (or) 4 ≤ x
i.e x < –2 (or) x ≥ 4
Here the circle is not filled for –2, so use strictly less than symbol.
The circle is filled for 4, so use greater than or equal to symbol.
Option C is the correct answer.
Hence x < –2 (or) x ≥ 4 is the compound inequality represented by the graph.
