What does it mean if you have an open circle on the graph of an inequality?

An open circle means greater or less than. The circled number is not included as an answer.

A closed one is greater than or equal to or less than or equal to.

So an open circle is > or < ? Just to make sure I understood that right.

Correct.

Closed would be < or > with a line beneath the sign.

im in 2021 and this answer is correct

Crazy that this was written a year after I was born.

If you have an open circle on the graph of an inequality, it means that the number represented by the circle is not included in the solution to the inequality. In other words, it represents a strict inequality where the number is only approached but not actually included.

To understand why this happens, let's consider an example. Suppose you have the inequality x > 3. If you graph this inequality on a number line, you would put an open circle at 3. This means that 3 is not a part of the solution. The line (or curve) would then extend to the right to indicate that any number greater than 3 is a part of the solution.

To determine whether to use an open circle or a closed circle on a graph, we need to carefully examine the inequality symbol. If the inequality symbol is ">", "≥", "<", or "≤", it determines whether the circle should be open or closed.

- If the inequality symbol is ">" or "<", which indicates a strict inequality, we use an open circle at the number to show it is not included.
- If the inequality symbol is "≥" or "≤", which indicates an inclusive inequality, we use a closed circle at the number to show it is included.

Remember that the conventions for open and closed circles may vary depending on the specific mathematical context or textbook you are using, so always check the instructions or guidance provided.

i was born in the year this was written but on July, 21