Ask a New Question
Menu

Use the image to answer the question.

Josie solved an inequality and graphed the solution on the number line. Which or the following inequalities did she solve?

(1 point)
Responses

x + 0.5 < 3
x + 0.5 < 3

x - 1.25 ≤ 1.25
x - 1.25 is less than or equal to 1.25

x - 1.25 ≥ 1.25
x - 1.25 is greater than or equal to 1.25

x + 1.25 ≥ 1.25

3 answers

To determine which inequality Josie solved, I would need to analyze the graph she produced on the number line. However, since I cannot see the image, I can guide you on how to approach this based on the inequalities provided.

  • For the inequality x + 0.5 < 3, you would solve it to get x < 2.5. The graphed solution would show an open circle at 2.5 and a shaded line to the left.

  • For the inequality x - 1.25 ≤ 1.25, you solve it to get x ≤ 2.5. The graph will have a closed circle at 2.5 and a shaded line to the left.

  • For the inequality x - 1.25 ≥ 1.25, you would solve it to get x ≥ 2.5. This would be displayed with a closed circle at 2.5 and shaded to the right.

  • For the inequality x + 1.25 ≥ 1.25, solving this gives you x ≥ 0. The graph would have a closed circle at 0 and shaded to the right.

Compare the solutions and the nature of the circles (open vs closed) on the number line in the image you reference in order to identify which inequality matches Josie's graph.

If you can describe the graph or provide more details, I could help you identify the correct inequality more accurately.

the number line goes from 10 to -10 and shows a closed dot on 2 1/2 going to 10

Based on your description, the number line has a closed dot at \(2.5\) and the solution is shaded to the right up to \(10\). This indicates that the solution includes \(2.5\) and all values greater than \(2.5\).

From the inequalities you provided, the one that matches this description is:

x - 1.25 ≥ 1.25

When you solve this inequality:

\[ x - 1.25 \geq 1.25 \] \[ x \geq 2.5 \]

This means that \(x\) includes \(2.5\) and values greater than it, which corresponds to the closed dot at \(2.5\) and shading to the right.

Thus, the inequality Josie solved is:

x - 1.25 ≥ 1.25.