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Question

Question 1
Consider the inequality.

2x+5<11

Correctly order the steps to solve the inequality.

(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.
Step 3.
Question 2
Consider the inequality.

2x+5<11


Which number line shows the solution to this inequality?

(1 point)
Responses

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Answer 1

To solve the inequality \(2x + 5 < 11\), we can follow these steps:

Step 1: Subtract 5 from both sides. \[ 2x + 5 - 5 < 11 - 5 \] \[ 2x < 6 \]

Step 2: Divide both sides by 2. \[ \frac{2x}{2} < \frac{6}{2} \] \[ x < 3 \]

Step 3: Express the solution in interval notation or on the number line. The solution to the inequality \(x < 3\) can be represented on a number line with an open circle at 3 and shading to the left.

Here's the ordered solution:

• Step 1: Subtract 5 from both sides
• Step 2: Divide both sides by 2
• Step 3: Express the solution (e.g., on a number line)

For Question 2:

The number line that shows the solution to the inequality \(x < 3\) will have an open circle at 3 and shading to the left, indicating all numbers less than 3 are included in the solution.

If you have specific responses or number lines given, please provide them for more accurate identification.