Question

-8x < 48; x > -6; x < -6; x < 6; x > 6

Explanation:

Step1: Solve the inequality \(-8x < 48\)

To solve for \(x\), we divide both sides of the inequality by \(-8\). Remember that when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes. So, dividing both sides by \(-8\):

$$ \frac{-8x}{-8} > \frac{48}{-8} $$

Step2: Simplify both sides

Simplifying the left side, \(\frac{-8x}{-8}=x\). Simplifying the right side, \(\frac{48}{-8} = -6\). So we get \(x > -6\).

Answer:

\(x > -6\) (corresponding to the first option "x > -6")