solution to x+1 2/3>4

Answer 1

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

1. First, isolate \( x \) by subtracting \( \frac{1}{3} \) from both sides:

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

2. To perform the subtraction, convert \( 4 \) to a fraction with a denominator of \( 3 \):

\[ 4 = \frac{12}{3} \]

3. Now, subtract:

\[ \frac{12}{3} - \frac{1}{3} = \frac{11}{3} \]

4. 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, \( \frac{11}{3} \approx 3.67\).