Which compound inequality describes the solutions graphed below?

A. x ≤ -2 or x > 3

Step-by-step explanation:

The number line shows two possible values of x which represents a compound inequality.

There are two arrows in opposite direction on the number line.

The arrow that starts at -2 and goes to your far left, has a shaded small circle "o". This connotes that -2 is included in the possible values of x. Thus, this means the possible value of x is equal to -2 or less than -2 ==> x ≤ -2.

The other arrow starts at 3 and has an unshaded small "o", implying that 3 is not included in the possible values of x. Thus, x > 3.

The compound inequality in the graph indicates either statement is true, since each solution do not overlap, hence, the word to use here would be "OR", showing a union.

Therefore, the solution of the compound inequality would be x ≤ -2 or x > 3.