Question

Which compound inequality is represented by the graph?

Answer 1

Given:

The graph of a compound inequality is given.

To find:

The compound inequality.

Solution:

From the given graph it is clear that an arrow approaches towards left from $x=-2$ and there is an open circle at $x=-2$.

It means all the values less than $-2$ are included in the solution set but $x=-2$  is not included.

$x$                  ...(i)

An arrow approaches towards right from $x=4$ and there is a closed circle at $x=4$.

It means all the values greater than of equal to 4 are included in the solution set and $x=4$ is also included.

$x\geq 4$     ...(ii)

Using (i) and (ii), we get the compound inequality.

$x$ or $x\geq 4$

Therefore, the correct option is C.