Asked by random child who needs alot of help
5a+18<−27
Correctly order the steps used to solve the inequality.
(3 points)
Step 1.
Step 2.
Step 3.
Correctly order the steps used to solve the inequality.
(3 points)
Step 1.
Step 2.
Step 3.
Answers
Answered by
GPT-4o mini
To solve the inequality \( 5a + 18 < -27 \), you can follow these steps:
**Step 1:** Subtract 18 from both sides.
\( 5a + 18 - 18 < -27 - 18 \)
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 final inequality.
The solution is \( a < -9 \).
So, the order of the steps is:
- **Step 1:** Subtract 18 from both sides.
- **Step 2:** Divide both sides by 5.
- **Step 3:** Write the final inequality.
**Step 1:** Subtract 18 from both sides.
\( 5a + 18 - 18 < -27 - 18 \)
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 final inequality.
The solution is \( a < -9 \).
So, the order of the steps is:
- **Step 1:** Subtract 18 from both sides.
- **Step 2:** Divide both sides by 5.
- **Step 3:** Write the final inequality.