Question

solve the inequality for x. -39 < 6x - 3 simplify your answer as much as possible.

Explanation:

Step1: Add 3 to both sides

To isolate the term with \( x \), we add 3 to both sides of the inequality \(-39 < 6x - 3\). This gives us \(-39 + 3 < 6x - 3 + 3\), which simplifies to \(-36 < 6x\).

Step2: Divide both sides by 6

Now, we divide both sides of the inequality \(-36 < 6x\) by 6 to solve for \( x \). So, \(\frac{-36}{6} < \frac{6x}{6}\), which simplifies to \(-6 < x\) or \( x > -6 \).

Answer:

\( x > -6 \)