Question

1/3x-4 greater than -10

Answer 1

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.