Consider the inequality.

Question

5a+18<−27

Correctly order the steps used to solve the inequality.

(3 points)
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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: \(a < -9\).