Describe what a number line representing d>−4 would look like. (1 point)
A) hollow circle at −4, with an arrow extending to the left
B) solid circle at −4, with an arrow extending to the right
C) hollow circle at −4, with an arrow extending to the right
D) solid circle at −4, with an arrow extending to the left
C) hollow circle at −4, with an arrow extending to the right
To understand what a number line representing d > -4 looks like, we need to know the meaning of the inequality symbol.
In mathematics, the ">" symbol represents "greater than." In this case, d > -4 means that the value of d is greater than -4.
Now we can plot this inequality on a number line. A number line is a straight line with numbers evenly spaced along it, usually starting from a negative value on the left and progressing towards positive values on the right.
For d > -4, we are looking for values of d that are greater than -4. The point -4 itself is not included in the solution because the inequality is strict (d > -4, not d ≥ -4).
So, we need to represent this exclusion of -4 on the number line. This is done by using a circle to indicate that -4 is not included.
Now, we need to determine whether the arrow extends to the left or to the right. Since we want d to be greater than -4, the arrow should point to the right to show that the values of d increase as we move in that direction.
So, the correct answer would be:
C) hollow circle at -4, with an arrow extending to the right