Question

unit test: one - variable linear equations and inequ solve for x. 4.6x < -15.64 enter your answer, as an inequality, in the box. comparison algebra keyboard

Explanation:

Step1: Divide both sides by 4.6

To solve for \( x \) in the inequality \( 4.6x < -15.64 \), we divide both sides of the inequality by 4.6. Since 4.6 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{4.6x}{4.6} < \frac{-15.64}{4.6}
\]

Step2: Simplify both sides

Simplifying the left side gives \( x \), and simplifying the right side: \( \frac{-15.64}{4.6} = -3.4 \).
\[
x < -3.4
\]

Answer:

\( x < -3.4 \)