Question

how would you graph the solution to the inequality, 2x > 6, on a number line? select one of four an open circle at 3, with an arrow pointing to the right a closed circle at 3, with an arrow pointing to the left a closed circle at 3, with an arrow pointing to the right an open circle at 3, with an arrow pointing to the left

Explanation:

Step1: Solve the inequality

Given \(2x>6\), divide both sides by \(2\).
\(x > 3\)

Step2: Analyze the graphing rules

For \(x>3\), since \(3\) is not included in the solution (because the inequality is strict, \(>\) not \(\geq\)), we use an open circle at \(3\). And since \(x\) is greater than \(3\), the values of \(x\) increase to the right on the number - line, so we have an arrow pointing to the right.

Answer:

An open circle at 3, with an arrow pointing to the right