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Question

Question 1
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.
open circle, shade right
open circle, shade left
closed circle, shade left
closed circle shade right
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 \( 2x - 13 > 3 \), follow these steps:

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 by 2: \[ \frac{2x}{2} > \frac{16}{2} \]

This simplifies to: \[ x > 8 \]

Graph:

Since the solution is \( x > 8 \), the correct graph representation would be:

• Open circle at 8 (indicating that 8 is not included in the solution)
• Shade to the right (indicating all values greater than 8 are included in the solution)

Summary:

• Step 1: Add 13 to both sides
• Step 2: Divide both sides by 2
• Graph: Open circle, shade right

For Question 2, you should select the graph that has an open circle at 8 and shading to the right.