i need help on graphing inequalities. i don`t understand everything! HELP!
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I'd be happy to help you with graphing inequalities! Unfortunately, I can't access the link you provided. Nevertheless, I can guide you through the process of graphing inequalities step by step.
To graph an inequality, you need to follow these general steps:
1. Start by rewriting the inequality in the form y < (or >), y ≤ (or ≥), or y =.
2. Treat the inequality as an equation and graph the corresponding equation, if it's possible (e.g., y = 2x + 3).
3. Identify the boundary line. For a strict inequality (e.g., y > 2x + 3), the boundary line is the corresponding equation (y = 2x + 3). For a non-strict inequality (e.g., y ≥ 2x + 3), the boundary line is the corresponding equation (y = 2x + 3) as well.
4. For a strict inequality like y > 2x + 3, choose a test point that is not on the boundary line (e.g., (0, 0)). Substitute this test point into the inequality to check if it satisfies the inequality. If it does, shade the region that includes the test point; if it doesn’t, shade the other region (not including the test point).
5. For a non-strict inequality like y ≥ 2x + 3, choose a test point that is not on the boundary line (e.g., (0, 0)). Substitute this test point into the inequality to check if it satisfies the inequality. If it does, shade the region that includes the test point; if it doesn’t, shade the other region (including the test point).
6. Finally, trace a solid line (for non-strict inequalities) or a dotted line (for strict inequalities) along the boundary line you identified in step 3.
Remember that when shading the region, you can use either solid shading (representing ≤ or ≥) or hatched shading (representing < or >) to indicate the solution set.
If you have a specific inequality you need help with, please provide it, and I'll guide you through graphing it.