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

Answer 1

To solve the inequality \(2x + 5 < 11\), here are the correct steps in order:

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

**Step 2:** Divide both sides by 2.
\[ x < 3 \]

**Step 3:** Write the solution in interval notation or on a number line.
The solution can be written as \( (-\infty, 3) \).

For Question 2, the number line should show an open circle at 3 and a line extending to the left, indicating that \(x\) can take any value less than 3.

If you have specific number line options, I can help you determine which one correctly represents the solution.