For inequality number lines would a less than or = to sign mean that that it would be a closed dot or open dot?
I finishes the math assignment but I want to make sure that I did it right.
≤ = less than or equal to
≥ = more than or equal to
I don't know what you mean by "closed dot or open dot."
I hope this helps. If not, please repost with more data.
When representing an inequality on a number line, a "less than or equal to" sign (≤) indicates that the endpoint is included in the solution set. This means that you should use a closed dot to represent the value on the number line.
To understand why a closed dot is used for "less than or equal to" inequalities, it's helpful to understand the difference between open and closed dots on a number line.
An open dot represents an excluded value. It is used to indicate that the value being represented is not included in the solution set. For example, if the inequality is x > 2, where x is greater than 2 but not equal to 2, you would use an open dot to show that 2 is not included in the solution set.
On the other hand, a closed dot represents an included value. It is used to indicate that the value being represented is part of the solution set. For example, if the inequality is x ≤ 5, where x is less than or equal to 5, you would use a closed dot to show that 5 is included in the solution set.
So, in summary, a "less than or equal to" sign (≤) in an inequality calls for a closed dot on the number line to represent the included endpoint.