Question

select the inequality that corresponds to the given graph.

number line with a closed circle on negative 3 and one third and 2 with shading in between

|2x - 4| > 2

|4x + 2| > 10

|4x - 6| less than or greater to 14

|6x + 4| less than or greater to 16

Answer 1

I can tell you this....from your solution, a closed circle indicates that an equal sign is present. Therefore, answer choices 1 and 2 are not the correct answers.
I am assuming the last two answer choices are less then or EQUAL.


|4x - 6| <= 14
-14 <= 4x - 6 <= 14
-14 + 6 <= 4x <= 14 + 6
-8 <= 4x <= 20
-8/4 <= x <= 20/4
-1/2 <= x < = 5 (not this one)

|6x + 4| <= 16
-16 <= 6x + 4 <= 16
-16 - 4 <= 6x <= 16 - 4
- 20 <= 6x <= 12
-20/6 <= x <= 12/6
- 3 1/3 <= x <= 2
closed circle on -3 1/3, closed circle on 2, shading in between