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.
subtract 2 from both sides of the inequality
subtract 13 from both sides of the inequality
add 13 to both sides of the inequality
multiply 2 on both sides of the inequality
divide by 2 from both sides of the inequality
open circle, shade right
open circle, shade left
closed circle, shade right
closed circle, shade left
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 in the correct order:

Step 1:

Add 13 to both sides of the inequality.

Step 2:

Divide by 2 from both sides of the inequality.

Graph:

Open circle, shade right.

Now let’s clarify the steps in detail:

1. Add 13 to both sides: \[ 2x - 13 + 13 > 3 + 13 \] This simplifies to: \[ 2x > 16 \]

2. Divide by 2: \[ \frac{2x}{2} > \frac{16}{2} \] This simplifies to: \[ x > 8 \]

Graph:

In the graph, since the solution is \( x > 8 \), you would shade to the right of 8, and the circle at 8 is open because 8 is not included in the solution (it's strictly greater).

For Question 2, the correct graph should show an open circle at 8 shaded to the right.