Question

$-\frac{14}{3} < g < 2$ (bullet)
$-\frac{14}{3} < g < 3$ (circle)
$-\frac{17}{3} < g < 5$ (circle)
$g < -\frac{14}{3}$ or $g > 2$ (circle)
graph the solution
graphing tools: blue square, various line segments with dots/arrows
number line: ← -4 -3 -2 -1 0 1 2 →

Explanation:

Step1: Analyze the inequality type

The inequality \(-\frac{14}{3}

Step2: Identify the correct graph option

Looking at the graphing options, the one with an open circle at \(-\frac{14}{3}\) (around \(-4.67\), which is left of \(-4\) on the number line) and an open circle at \(2\), with a line connecting them, is the correct representation. Among the graph icons, the one that shows a line segment between two open circles (the "open - open" line segment, or the one with two open circles connected) is the right choice. Also, the inequality \(-\frac{14}{3}

Answer:

The correct inequality is \(-\frac{14}{3}