Solve for x.

Question

4.6x < −15.64

Answer 1

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:

\[ x < -3.404 \]