Consider the inequality.

Question

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

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Answer 1

To solve the inequality \( 2x - 13 > 3 \), here are the steps in the correct order:

Step 1:

Add 13 to both sides:
\( 2x - 13 + 13 > 3 + 13 \)
\( 2x > 16 \)

Step 2:

Divide both sides by 2:
\( \frac{2x}{2} > \frac{16}{2} \)
\( x > 8 \)

Graph:

The graph should represent all values of \( x \) that are greater than 8. This would typically be depicted with an open circle at 8 (indicating that 8 is not included) and a line extending to the right, showing all numbers greater than 8.

Answer for Question 2:

You need to select the graph that shows an open circle at 8 with a line to the right extending indefinitely.