Question

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

Explanation:

Step1: Identify left - hand side inequality

The graph has an open - circle at $x=-810$ and the line extends to the left. So the inequality for this part is $x < - 810$.

Step2: Identify right - hand side inequality

The graph has a closed - circle at $x=-807$ and the line extends to the right. So the inequality for this part is $x\geq - 807$.

Step3: Combine the inequalities

Since the two parts are separate, we use the "or" connective. The compound inequality is $x < - 810$ or $x\geq - 807$.

Answer:

$x < - 810$ or $x\geq - 807$