Question

which graph represents the solution to the following inequality?
\\( \frac { 1 } { 2 } ( x - 4 ) > 3 \\)

Explanation:

Step1: Solve the inequality

Given \( y < - 3\).

Step2: Analyze the graph representation

For an inequality \(y < a\) (where \(a=-3\) here), the graph has an open - circle at \(y = a\) (since the inequality is strict, i.e., \(y
eq - 3\)) and the arrow points in the direction of decreasing \(y\) values.

Answer:

The graph with an open - circle at \(y=-3\) and the arrow pointing downwards (towards more negative \(y\) values) represents the solution \(y < - 3\).