the correct half–plane in each case,

Y>3

I AM TRYING TO GRAPH THIS I HAVE THE LINE THROUGH THE LINE THREE ABOVE THE X GOING STRAIGHT ACROSS WHAT ELSE DO I NEED TO DO I KNOW I NEED TO SHADE ONE SIDE OR THE OTHER BUT HAVE NOT BEEN ABLE TO UNDERSTAND HOW TO FIGURE OUT WHICH SIDE CAN SOMEONE PLEASE HELP

If y>3 and the shaded area represents the region where that inequality is satisfied, then the area aboove the y=3 line (three units above and parallel to the x axis) should be shaded.

are they any web site that could explain it how to determine this because i still not quite sure of this thanks

Yes, there are many websites that can help you understand how to determine which side to shade when graphing an inequality. Here are a few resources that you can use:

1. Khan Academy: Khan Academy has a comprehensive video tutorial series on graphing inequalities. You can visit their website and search for "graphing linear inequalities" to find their relevant lessons.

2. MathIsFun: MathIsFun is a website that offers interactive explanations and examples. They have a section on graphing inequalities that you can explore to enhance your understanding. Just search for "MathIsFun graphing inequalities" on your preferred search engine.

3. Mathway: Mathway is an online math problem solver that can help you visualize and understand graphing inequalities. You can enter your specific inequality and see a step-by-step solution with explanations. Visit the Mathway website and search for "graphing inequalities" to access their graphing calculator.

Remember, practice and repetition are key when it comes to understanding and mastering graphing inequalities. So take your time, work through examples, and keep practicing until you feel comfortable with the process.