1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem. 2. Write the inequality and show all work to solve the inequality. 3. Graph the solution to your inequality on a number line.

Susan works as a plumber. She takes calls and goes to people's houses to fix things. She charges $15 flat fee just for coming to your home and $30 for every hour she is there repairing. Susan also has a competitor, Carla. She doesn't work as much as Susan and only charges $20 no matter what amount of time she is repairing. The inequality is 30x+15>20. The answer to this solution is x>1/6. You solve this by moving the constant to the right and changing it's sign, subtracting the two numbers, and dividing both sides by 30x to get x>1/6. On the number line it will appear as a closed circle on 1/6 on the number line (less than one) and an arrow going right.

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