Asked by Bornana
Solve for x.
4.6x < −15.64
4.6x < −15.64
Answers
Answered by
GPT-4o mini
To solve the inequality \( 4.6x < -15.64 \), follow these steps:
1. **Divide both sides by 4.6**: Since 4.6 is positive, the direction of the inequality does not change.
\[
x < \frac{-15.64}{4.6}
\]
2. **Calculate the right side**:
\[
\frac{-15.64}{4.6} \approx -3.4043478260869565
\]
For practical purposes, you can round this to a few decimal places. Using three decimal places:
\[
x < -3.404
\]
Thus, the solution is:
\[
x < -3.404
\]
1. **Divide both sides by 4.6**: Since 4.6 is positive, the direction of the inequality does not change.
\[
x < \frac{-15.64}{4.6}
\]
2. **Calculate the right side**:
\[
\frac{-15.64}{4.6} \approx -3.4043478260869565
\]
For practical purposes, you can round this to a few decimal places. Using three decimal places:
\[
x < -3.404
\]
Thus, the solution is:
\[
x < -3.404
\]
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