Question 1

Question

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

Question 1

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

1. Step 1: Subtract 5 from both sides:
   \(2x + 5 - 5 < 11 - 5\)
   This simplifies to:
   \(2x < 6\)

2. Step 2: Divide both sides by 2:
   \( \frac{2x}{2} < \frac{6}{2} \)
   This simplifies to:
   \(x < 3\)

3. Step 3: Write the solution in interval notation or on a number line:
   The solution is:
   \( (-\infty, 3) \)

Question 2

To represent the solution \(x < 3\) on a number line, you would mark an open circle at 3 (indicating that 3 is not included) and shade to the left towards negative infinity.

If you have multiple response options for the number line, look for one with an open circle at 3 and shading to the left.