To solve the inequality \( x + \frac{1}{3} > 4 \), follow these steps:
- First, isolate \( x \) by subtracting \( \frac{1}{3} \) from both sides:
\[ x > 4 - \frac{1}{3} \]
- To perform the subtraction, convert \( 4 \) to a fraction with a denominator of \( 3 \):
\[ 4 = \frac{12}{3} \]
- Now, subtract:
\[ \frac{12}{3} - \frac{1}{3} = \frac{11}{3} \]
- This gives us the inequality:
\[ x > \frac{11}{3} \]
So, the solution to the inequality \( x + \frac{1}{3} > 4 \) is:
\[ x > \frac{11}{3} \]
In decimal form, \( \frac{11}{3} \approx 3.67\).