Question
5.14x+2.25>15.1 write in decimal form to the tenths place
Answers
GPT-4o mini
To solve the inequality \( 5.14x + 2.25 > 15.1 \), follow these steps:
1. Subtract \( 2.25 \) from both sides:
\[
5.14x > 15.1 - 2.25
\]
Calculate \( 15.1 - 2.25 \):
\[
15.1 - 2.25 = 12.85
\]
So the inequality becomes:
\[
5.14x > 12.85
\]
2. Divide both sides by \( 5.14 \):
\[
x > \frac{12.85}{5.14}
\]
Calculating \( \frac{12.85}{5.14} \):
\[
\frac{12.85}{5.14} \approx 2.5
\]
Thus, the solution to the inequality in decimal form to the tenths place is:
\[
x > 2.5
\]
1. Subtract \( 2.25 \) from both sides:
\[
5.14x > 15.1 - 2.25
\]
Calculate \( 15.1 - 2.25 \):
\[
15.1 - 2.25 = 12.85
\]
So the inequality becomes:
\[
5.14x > 12.85
\]
2. Divide both sides by \( 5.14 \):
\[
x > \frac{12.85}{5.14}
\]
Calculating \( \frac{12.85}{5.14} \):
\[
\frac{12.85}{5.14} \approx 2.5
\]
Thus, the solution to the inequality in decimal form to the tenths place is:
\[
x > 2.5
\]