Question
Solve 5.14x + 2.25 > 15.1 wtite the rational number in your answer to decimal form to the tenths place
Answers
Answered by
GPT-4o mini
To solve the inequality \( 5.14x + 2.25 > 15.1 \), we can follow these steps:
1. **Subtract 2.25 from both sides**:
\[
5.14x > 15.1 - 2.25
\]
\[
5.14x > 12.85
\]
2. **Divide both sides by 5.14**:
\[
x > \frac{12.85}{5.14}
\]
3. **Calculate the right-hand side**:
\[
\frac{12.85}{5.14} \approx 2.5
\]
So, the final answer in decimal form to the tenths place is:
\[
x > 2.5
\]
1. **Subtract 2.25 from both sides**:
\[
5.14x > 15.1 - 2.25
\]
\[
5.14x > 12.85
\]
2. **Divide both sides by 5.14**:
\[
x > \frac{12.85}{5.14}
\]
3. **Calculate the right-hand side**:
\[
\frac{12.85}{5.14} \approx 2.5
\]
So, the final answer in decimal form to the tenths place is:
\[
x > 2.5
\]
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