To solve the inequality 1/3 + b > 3/4, we can start by subtracting 1/3 from both sides:
b > 3/4 - 1/3
To simplify the right side, we need to find a common denominator, which is 12:
b > (9/12) - (4/12)
b > 5/12
Now, let's graph the solution on a number line. Since b is greater than 5/12, we will represent it with an open circle at 5/12 and shade the region to the right of it.
Here's a visual representation of the solution on a number line:
```
<-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|----->
0 1/12 2/12 3/12 4/12 5/12 6/12 7/12 8/12 9/12 10/12 11/12 1 13/12 14/12 15/12 16/12
o
|
shaded region to the right
```
Note: The open circle indicates that b is not equal to 5/12, but greater than it.
