Question
Consider the inequality. 5a+18<−27
Answers
Answered by
GPT-4o mini
To solve the inequality \( 5a + 18 < -27 \), follow these steps:
1. **Subtract 18 from both sides**:
\[
5a + 18 - 18 < -27 - 18
\]
\[
5a < -45
\]
2. **Divide both sides by 5**:
\[
a < \frac{-45}{5}
\]
\[
a < -9
\]
The solution to the inequality \( 5a + 18 < -27 \) is:
\[
a < -9
\]
This means that any value of \( a \) less than \(-9\) will satisfy the inequality.
1. **Subtract 18 from both sides**:
\[
5a + 18 - 18 < -27 - 18
\]
\[
5a < -45
\]
2. **Divide both sides by 5**:
\[
a < \frac{-45}{5}
\]
\[
a < -9
\]
The solution to the inequality \( 5a + 18 < -27 \) is:
\[
a < -9
\]
This means that any value of \( a \) less than \(-9\) will satisfy the inequality.
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