how about 15 greater than or equal to closed or open circle

Answer 1

In mathematical notation, "greater than or equal to" is symbolized by the ≥ sign. When graphing inequalities on a number line, we use either a closed circle or an open circle to represent the type of inequality:

1. A closed circle represents "greater than or equal to" (≥) or "less than or equal to" (≤). This means that the value at the circle is included in the set of solutions.

2. An open circle represents "greater than" (>) or "less than" (<). This means that the value at the circle is not included in the set of solutions—it's just beyond the threshold.

If you have an inequality that says "15 greater than or equal to," this typically means you are comparing a variable or expression to the value of 15 and the variable or expression is either equal to 15 or more. In equation form, it could look like this:
\[ x \geq 15 \]
This inequality would be graphed with a closed circle at 15, and the area to the right of 15, which symbolizes all numbers greater than 15, would be shaded to represent all the possible values of x that satisfy the inequality.