Question

Solve the inequality -3x + 4 x + 8 and show all of your work.

Answer 1

oops

Answer 2

?

Answer 3

missing something in the question

Answer 4

Oh yeah. One second.

Answer 5

Solve an inequality the same way you would solve a regular equation.
With this ONE exception:
If you multiply or divide both sides by a NEGATIVE number, then you should change the direction of the inequality sign.

Answer 6

\(<, >, \geq , \leq\)

Answer 7

easy peasy parchesie. =D

Answer 8

Solve the inequality -3x + 4<= x + 8 and show all of your work.

Answer 9

fortunately you never have to divide by a negative number

Answer 10

Give it a try on your own and ask me any questions that come up =)

Answer 11

What's the first step? lol

Answer 12

Group like terms. Get x by itself.

Answer 13

Don't be intimidated. It's nearly the same as solving a normal equation.

Answer 14

add 4 and 8?

Answer 15

\[-3x+4\leq x+8\]
add \(3x\) to both sides and get
\[4\leq 4x+8\]

Answer 16

Get them on the same side first.

Answer 17

Now do I divide 4x by 4?

Answer 18

subtract 4 from 8 on bothsides then take 1 away from the negative 3x to get -2 then divide 4 by negative two to get...\[x \le -2\]

Answer 19

can you write all that out?

Answer 20

When your write it in words it confuses me.

Answer 21

yeah
\[-3x+4 \le x+8\\[x \le -2\]

\[-3x \le x + 4\]

\[-2x \le 4\

Answer 22

−3x+4 ≤ x+8
First of all, these steps are exactly the same as if we were solving the problem
−3x+4 = x+8

The first step is to get like terms together. That means I want x on one side and everything else on the other.
−3x+4 ≤ x+8
Add 3x to both sides.
4 ≤ 4x+8
Subtract 8 from both sides.
-4 ≤ 4x
divide both sides by 4.

Answer 23

That is explains it a lot better. thank you(:

Answer 24

I think you're letting yourself get scared, but solving this kind of problem is almost exactly the same as normal equations. There is one little difference, and I want to show it to you.

Answer 25

-1<=x is the answer?

Answer 26

Yes, that's right.
If you ever multiply or divide both sides by a negative number, you have to switch which way the inequality points. I looks like this:
-2x < 6
divide both sides by (-2), and remember to switch the inequality sign
x > -3

Answer 27

Can you help me with another one?. please.

Answer 28

sure

Answer 29

Solve the compound inequality 6x + 7 > 1 and 6x + 7 < 25 and show all of your work.

Answer 30

Solve each of them separately. Please show me your attempt.

Answer 31

You can do this. Trust me.

Answer 32

Divide 6 from 7?

Answer 33

Not yet. Get like terms together first.

Answer 34

7 minus 1?

Answer 35

Start with the actual whole inequality, do something to both sides, and show me the result. You're just making guesses -_-

Answer 36

No I'm not You said to start with the separately.. I don't get this. I honestly.

Answer 37

Please help me.

Answer 38

It's alright. Let's try some simple equations. I'll do an example, and then I'll give you one to try.

Example:
3x + 1 = 7
I start by getting like terms together. I have 1 on the left, and 7 on the right, so I need to move 1 over to the left. How do I do that? Subtract 1 from both sides. What is the result when I do that?
3x + 1 - 1 = 7-1 which gives
3x = 6
Now, I have like terms grouped, but x is not by itself yet. x is multiplied by 3, so how do I get rid of it? Divide both sides by 3, which gives me
3x/3 = 6/3
x = 2

Answer 39

Now you try this one.

5x - 6 = 9

Answer 40

I need help with the problem I have given.

Answer 41

Right, but you don't know how to solve basic equations, so the best way for me to help you is to teach you that.

Answer 42

Are you here to learn, or are you here to get answers?

Answer 43

Is this right?
Part 1:
6x +7>1
6x>-6
x>-1

6x + 7 < 25
6x<18
x<3

-1<x<3

Answer 44

Yes =)

Answer 45

And that is exactly what I'm looking for. Change the inequality one step at a time until it is solved for x.

Answer 46

How would graph that on an number line?

Answer 47

CAN YOU People tell me whats exactly the question?

Answer 48

Would it be a open circle on 1 then colored to the right connected to a open circle on 3 colored to the left?

Answer 49

Good =) Except be careful. Not 1, but -1. Right?

Answer 50

Oh yeah. I meant that.