Consider the inequality.

Question

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 \( 5a + 18 < -27 \), here is the correct order of steps:

Step 1: Subtract 18 from both sides of the inequality.

Step 2: Divide both sides by 5.

Step 3: Write the solution in interval notation or another appropriate form.

Now, to solve the inequality:

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

2. Step 2: Divide both sides by 5: \[ a < -9 \]

So, the solution set is: \[ (-\infty, -9) \]

In summary, the steps to input would be:

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

The solution set is \( a < -9 \) or in interval notation \( (-\infty, -9) \).