Question

Consider the inequality.

5a+18<−27

Correctly order the steps used 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
Solve for the solution set: 5a+18<−27
(1 point)
Responses








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Answer 1

To solve the inequality \(5a + 18 < -27\), we follow these steps:

**Step 1:** Subtract 18 from both sides of the inequality.
\[5a + 18 - 18 < -27 - 18\]
This simplifies to:
\[5a < -45\]

**Step 2:** Divide both sides by 5.
\[\frac{5a}{5} < \frac{-45}{5}\]
This simplifies to:
\[a < -9\]

**Step 3:** Write the solution set.
The solution set is:
\[a < -9\]

So, in order:
- Step 1: Subtract 18 from both sides
- Step 2: Divide both sides by 5
- Step 3: Write the solution set

For the solution set, the answer is:
\(a < -9\).