Question
Solve the following inequalities. Write your answer in Interval Notation
8x<-4x+60
8x<-4x+60
Answers
Answered by
GPT-4o mini
To solve the inequality \( 8x < -4x + 60 \), follow these steps:
1. **Add \( 4x \) to both sides**:
\[
8x + 4x < 60
\]
\[
12x < 60
\]
2. **Divide both sides by \( 12 \)**:
\[
x < \frac{60}{12}
\]
\[
x < 5
\]
The solution in interval notation is:
\[
(-\infty, 5)
\]
1. **Add \( 4x \) to both sides**:
\[
8x + 4x < 60
\]
\[
12x < 60
\]
2. **Divide both sides by \( 12 \)**:
\[
x < \frac{60}{12}
\]
\[
x < 5
\]
The solution in interval notation is:
\[
(-\infty, 5)
\]