Which compound inequality is represented in the graph?

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.

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