what compound inequality describes this graph?\nwrite a compound inequality like $1 < x < 3$ or like $x < 1$…

what compound inequality describes this graph?\nwrite a compound inequality like $1 < x < 3$ or like $x < 1$ or $x > 3$.

what compound inequality describes this graph?\nwrite a compound inequality like $1 < x < 3$ or like $x < 1$ or $x > 3$.

Answer

Explanation:

Step1: Analyze the left - hand side of the graph

The graph has a solid dot at (x = - 3) and the arrow goes to the left. A solid dot means the value is included, so the inequality for this part is (x\leqslant - 3).

Step2: Analyze the right - hand side of the graph

The graph has an open dot at (x=-1) and the arrow goes to the right. An open dot means the value is not included, so the inequality for this part is (x > - 1).

Since the two parts of the graph are separate, we use the word "or" to connect the two inequalities.

Answer:

(x\leqslant - 3) or (x > - 1)