Question

16 < 3x + 1 < 4

Part 1: Solve the inequality above.
Part 2: Describe the graph of the solution.

Answer 1

Think of it as an inequality with 3 "sides."
Whatever you do to one side, you must do to all 3.
You want x, so first, subtract 1 from all 3 sides.
Then divide all 3 sides by 3.
Try it and write what you get.

Answer 2

15 < 3x < 3
5 < 1

Answer 3

16 < 3x + 1 < 4
16 - 1 < 3x < 4 - 1
15 < 3x < 3
15/3 < x < 3/3
5 < x < 1

Answer 4

Thank you, could you help me with Part 2?

Answer 5

5 < x < 1 is not possible

Answer 6

:S

Answer 7

Yeah, it's pretty obvious now since
16 ≮ 4

Answer 8

You don't have to worry about graphing this one.

Answer 9

Is it "obvious" to you @ahoward79 ?

Answer 10

No

Answer 11

Then you learned nothing.

Answer 12

Well, don't insult her @skullpatrol, teach her

Answer 13

I understand the first part just not the second.

Answer 14

You already GAVE her the answer.

Answer 15

@skullpatrol You have not helped me on ONE question, if you arent even going to help me PLEASE, LEAVE ME ALONE. Thank you :)

Answer 16

Can a number be BOTH greater than 5 and less than 1 ?

Answer 17

I was showing her the steps @skullpatrol

Answer 18

No.

Answer 19

She had already tried to do it, but just forgot the x in between

Answer 20

Furthermore, I was pointing out that 5 < x < 1 is not possible. You really need to get over yourself bro.

Answer 21

So what is the solution set for this question? @ahoward79

Answer 22

@skullpatrol, I'm about tired of your antics. Don't respond to posts I post in anymore, seriously

Answer 23

16 < 3x + 1 < 4
You did the next step correctly:
Subtract 1 from all three sides:
15 < 3x < 3
The next step is to divide all 3 sides by 3
5 < x < 1
Here's the problem. A compound inequality like this means
5 < x and x < 1
x < 5 means x > 5
That means x > 5 and x < 1
It's not possible for a number to be less than 1 and greater than 5.
That's why this can't be graphed. there is no number that can be a solution to this inequality.

Answer 24

Thank you soooo much @Hero you dont know how many times Ive tried to get him to leave me alone.

Answer 25

Why don't you tell me how many times?

Answer 26

don't worry, I already abuse-reported him

Answer 27

Are you going to answer this question by stating the solution set and Part 2: Describe the graph of the solution.

Answer 28

@skullpatrol, leave her alone