Quick question, I'm learning about inequalities and graphs, so I just have one thing that I forgot. With an underscored < symbol, would the graph have the open dot or closed dot? I forgot to take notes on this. My bad! I think that a < symbol that is not underscored has the open dot. Is that correct?
if it is at the equal point, it includes that point. closed dot
Plotting inequalities. To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e.g., 3). Then if the sign includes equal to (≥ or ≤), fill in the circle. If the sign does not include equal to (> or <), leave the circle unfilled in.
That makes sense, Thanks!
No problem, I'm here to help! When dealing with inequalities and graphing, it's important to understand the symbolism and the meaning behind it.
In the case of an underscored "<" symbol representing "less than," the graph would have an open dot. This means that the value on the number line is not included in the solution set. Remember that an open dot indicates that the value is not part of the solution.
On the other hand, when you have an inequality with an underscored "≤" symbol (less than or equal to), the graph would have a closed dot. This means that the value on the number line is included in the solution set. A closed dot indicates that the value is part of the solution.
So, your understanding is correct! An underscored "<" symbol has an open dot, while an underscored "≤" symbol has a closed dot.