Question

What are the solutions of the compound inequality? Graph the solutions.

–2 < 4x – 10 < 6

A. 4 < x < 12

B. -3 < x < -1

C. –16 < x < –8

D. 2 < x < 4

Answer 1

@Directrix i have no idea how to do this question any help

Answer 2

here is the way i got it and it is wrong

Answer 3

-2 < 4x -10 < 6
-2 < 4x < 6 + 10
-2 <4x < 16
-2 < x <16/4
-2 < x < 4

Answer 4

and i am sure i am wrong i guess

Answer 5

Let me see how my work goes:

–2 < 4x – 10 < 6
Add 10

-2 + 10 < 4x - 10 + 10 < 6 + 10
--------------------------------------------

8 < 4x < 16

Answer 6

i still didnt get the use of adding 10

Answer 7

I have not finished the problem. Just stopped so that you could read what I have so far.

Answer 8

The object of this problem is to take the "4x – 10" and legitimately make it be just a single x.


So, the first thing to do is to add 10 to all three components of the problem.

Then, there will be a 4x which must become just a single x.

Answer 9

yes i get it
then

Answer 10

Picking up from there, all three components must be divided by 4.


8 < 4x < 16

8/4 < 4x/4 < 16/4

2 < x < 4


Is that one of the options?

Answer 11

yes it is the last option D

Answer 12

thank you... u should be our school teacher loll.....

Answer 13

You are welcome.