Question

Which inequalities would have an open circle when graphed? Check the three that apply.
A. t ≥ 25
B. x > 5.4
C. x > 0
D. 1/2 > x
E. -2.5 ≤ m

Answer 1

When graphing inequalities on a number line, an open circle is used to represent values that are not included in the solution (i.e., strictly greater than or less than), while a closed circle indicates values that are included (i.e., greater than or equal to or less than or equal to).

Here are the inequalities you provided, along with whether they would be represented with an open or closed circle:

A. \( t ≥ 25 \) - closed circle (includes 25)
B. \( x > 5.4 \) - open circle (does not include 5.4)
C. \( x > 0 \) - open circle (does not include 0)
D. \( \frac{1}{2} > x \) - open circle (does not include \(\frac{1}{2}\))
E. \( -2.5 ≤ m \) - closed circle (includes -2.5)

The inequalities that would have an open circle when graphed are:
- B. \( x > 5.4 \)
- C. \( x > 0 \)
- D. \( \frac{1}{2} > x \)

So, the three inequalities that would have an open circle when graphed are B, C, and D.