**Step 1. Swap sides**

\[

\frac{7}{3}<\frac{p}{3}

\]

Swap sides:

\[

\frac{p}{3}>\frac{7}{3}

\]

**Step 2. Isolate the \(p\)**

\[

\frac{p}{3}>\frac{7}{3}

\]

Multiply to both sides by 3 :

\[

\frac{p}{3} \cdot 3>\frac{7}{3} \cdot 3

\]

Group like terms:

\[

\frac{1}{3} \cdot 3 p>\frac{7}{3} \cdot 3

\]

Simplify the fraction:

\[

p>\frac{7}{3} \cdot 3

\]

Multiply the fractions:

\[

p>\frac{7 \cdot 3}{3}

\]

Simplify the right side:

\[

p>7

\]

**Step 3. Solution on a coordinate plane**

Solution:

\(p>7\)

Interval notation:

\((7, \infty)\)