Solve the inequality $3 > t + 1$ and graph the solution on a number line.

1. Problem Description

Solve the inequality $3 > t + 1$ and graph the solution on a number line.

2. Solution Steps

First, we need to isolate the variable $t$ in the inequality $3 > t + 1$.

Subtract 1 from both sides of the inequality:

$3 - 1 > t + 1 - 1$

$2 > t$

This can also be written as $t < 2$.

To graph the solution $t < 2$ on a number line, we need to plot an open circle at 2 since $t$ is strictly less than 2 (not equal to). Then, we draw an arrow to the left, indicating that all values less than 2 are solutions.

3. Final Answer

The solution to the inequality is $t < 2$.

To graph the solution, place an open circle on 2 and draw an arrow to the left.