1/3x-4 greater than -10

To solve the inequality \( \frac{1}{3}x - 4 > -10 \), follow these steps:

1. Add 4 to both sides to isolate the term with \( x \):

   \[ \frac{1}{3}x - 4 + 4 > -10 + 4 \]

   This simplifies to:

   \[ \frac{1}{3}x > -6 \]

2. Multiply both sides by 3 to solve for \( x \). Remember, since 3 is positive, the direction of the inequality will not change:

   \[ 3 \cdot \frac{1}{3}x > 3 \cdot (-6) \]

   This simplifies to:

   \[ x > -18 \]

So, the solution to the inequality is:

\[ x > -18 \]

This means any value of \( x \) greater than -18 will satisfy the original inequality.