Question

solve the inequality for x.
3 < -9 - 6x
simplify your answer as much as possib

Explanation:

Step1: Add 9 to both sides

To isolate the term with \( x \), we first add 9 to both sides of the inequality \( 3 < -9 - 6x \). This gives us \( 3 + 9 < -9 - 6x + 9 \), which simplifies to \( 12 < -6x \).

Step2: Divide both sides by -6 (and reverse inequality)

When dividing an inequality by a negative number, we must reverse the inequality sign. Dividing both sides of \( 12 < -6x \) by -6 gives \( \frac{12}{-6} > \frac{-6x}{-6} \), which simplifies to \( -2 > x \) or equivalently \( x < -2 \).

Answer:

\( x < -2 \)