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

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

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

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

**Step 3:** Write the solution in interval notation:
\((-\infty, 3)\)

For the number line that shows the solution to this inequality \(x < 3\), it should have an open circle at 3 (indicating that 3 is not included) and a line extending to the left towards negative infinity.

If you have specific response options for the number line, please provide them to assist further!