To solve the inequality \(2 > \frac{t}{3}\), we can start by manipulating the inequality to isolate \(t\).
- Multiply both sides of the inequality by 3 (since 3 is a positive number, the direction of the inequality does not change):
\[ 2 \cdot 3 > t \]
\[ 6 > t \]
This can be rewritten as:
\[ t < 6 \]
Graphing the Solution
- The solution indicates that \(t\) can take any value less than 6.
- On a number line:
- Place an open circle at 6 to indicate that 6 is not included in the solution (since \(t\) must be less than 6 but not equal to 6).
- Shade to the left of the open circle to represent all the values less than 6.
Steps to Graph:
- Place an open circle at 6 (as it is not included).
- Shade the line to the left of the open circle to represent the values of \(t\) that satisfy the inequality \(t < 6\).
Summary of the Solution
The solution to the inequality is \(t < 6\), and the graph should display an open circle at 6 with shading extending to the left.