Question

Consider the inequality. 2x−13>3 Drag and drop the steps to solve the inequality in the correct order. (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1. Step 2. Graph. Question 2 Consider the inequality. 2x−13>3 Which of the following graphs shows the solution? (1 point) Responses

Answer 1

To solve the inequality \(2x - 13 > 3\), we follow these steps in order:

Step 1: Add 13 to both sides of the inequality: \[ 2x - 13 + 13 > 3 + 13 \] This simplifies to: \[ 2x > 16 \]

Step 2: Divide both sides of the inequality by 2: \[ \frac{2x}{2} > \frac{16}{2} \] This simplifies to: \[ x > 8 \]

Now, for the graph that shows the solution \(x > 8\):

• It should have an open circle at 8 (indicating that 8 is not included in the solution) and a line extending to the right (indicating all values greater than 8 are included).

Select the graph that matches this description.

Here are the steps summarized:

• Step 1: Add 13 to both sides.
• Step 2: Divide both sides by 2.
• Graph: Open circle at 8 with a line extending to the right.