Which inequality represents the following number line? +
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
Select one:
a. x < -6
b. X > -6
C. XS-6
d. x > -6

b. x > -6

Step-by-step explanation:

> [greater than], and < [less than] inequalities are not filled in because the value is not included, but is only greater or less than.

≥ [greater than or equal to], and ≤ [less than or equal to] inequalities are filled in because the value is included, and it is greater than or less than.

Given that there is an empty circle with an arrow moving in the positive direction from -6, the inequality must be a greater than, and since the value is -6, x > -6.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.