Without the image of the graph, it's difficult to determine which inequality Josie solved. However, I can guide you on how to analyze the possible inequalities based on their expressions.
-
For \(x + 0.5 < 3\): This inequality simplifies to \(x < 2.5\), which would be represented on a number line with an open circle at 2.5 and shading to the left.
-
For \(x - 1.25 ≤ 1.25\): This inequality simplifies to \(x ≤ 2.5\), which would be shown with a closed circle at 2.5 and shading to the left.
-
For \(x - 1.25 ≥ 1.25\): This simplifies to \(x ≥ 2.5\), represented with a closed circle at 2.5 and shading to the right.
-
For \(x + 1.25 ≥ 1.25\): This simplifies to \(x ≥ 0\), represented with a closed circle at 0 and shading to the right.
Check the graph you have to find whether the circle (open or closed) is at 2.5 or 0, and where the shading is directed (left or right). This will help you identify the correct inequality based on Josie's graph.