Question

1. which graphed number - line shows the solutions for the inequality 8 > x?

Explanation:

Step1: Interpret the inequality

The inequality $8 > x$ is equivalent to $x < 8$. This means all values of $x$ that are less than 8 are solutions.

Step2: Visualize on number - line

On a number - line, we would have an open circle at 8 (because 8 is not included in the solution set, since the inequality is $x < 8$ and not $x\leq8$) and an arrow pointing to the left, towards the smaller numbers.

Answer:

The number - line with an open circle at 8 and an arrow pointing to the left represents the solutions of the inequality $8 > x$.