Answer:
Sure, I'd be happy to help!
To solve the inequality, we need to follow these steps:
1. Simplify the inequality by isolating the variable (in this case, b).
2. Determine the direction of the inequality (less than, greater than, or equal to).
3. Graph the solution on a number line.
Here's the inequality:
b > the quotient of a number b and is greater than .
Let's start by simplifying the inequality:
b > b/b
Since b is already greater than 0, we can simplify the inequality further:
b > 1
Now we need to determine the direction of the inequality. In this case, we have a greater than symbol (>), which means the solution must be greater than 1.
So, the solution to the inequality is:
b > 1
To graph the solution on a number line, we can start at 1 and draw a line upwards to the right, indicating that all values greater than 1 satisfy the inequality.
Explanation: