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Question

Question 1
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 can break down the steps as follows:

Step 1

Subtract 18 from both sides: \[ 5a + 18 - 18 < -27 - 18 \] Resulting in: \[ 5a < -45 \]

Step 2

Divide both sides by 5: \[ \frac{5a}{5} < \frac{-45}{5} \] Resulting in: \[ a < -9 \]

Step 3

Write the solution set: The solution set can be expressed as: \[ (-\infty, -9) \]

Summary

Here is the ordered list of steps:

• Step 1: Subtract 18 from both sides.
• Step 2: Divide both sides by 5.
• Step 3: Write the solution set.

Solution Set

The solution set to the inequality \(5a + 18 < -27\) is: \[ (-\infty, -9) \]