Question

3x-10>5x+6 answer please

Answer 1

1) subtract \(3x\) from both sides

Answer 2

2) subtract \(6\) from both sides

Answer 3

3) divide both sides by \(2\)

Answer 4

What's the answer

Answer 5

lol
it is what you get when you do that

Answer 6

It's what you get when you follow those steps correctly!

Answer 7

You're trying to get \(x\) alone one on side of the inequality sign. You can add, subtract, multiply, divide, etc. so long as you do the same thing to both sides of the equation. There's one little wrinkle with inequalities: if you multiply or divide by a negative number, you have to turn the inequality symbol to face the opposite direction. Not an issue in this problem.

Answer 8

Work out an answer and I'll tell you if it is correct or not.

Answer 9

It's it x=2

Answer 10

Okay, you can't go from an inequality to an equality. Even if you could, that'd still be wrong. Care to share your work? We can find the problem.

Answer 11

3x-10>5x+6
-3x. -6 3x
4 2x
2. 2
2=x

Answer 12

No. You should write out the entire equation each time, this shortcut of yours isn't helping you get to the correct answer.

\[3x-10>5x+6\]subtract \(3x\) from each side:
\[3x-3x-10 > 5x-3x+6\]\[-10>2x+6\]Now apply the rest of the steps in the same fashion.

Answer 13

I keep getting x=2

Answer 14

Show your work! You can't possibly get an equals sign in the answer if you copy the equations as I showed you.

Answer 15

\[-10>2x+6\]Subtract 6 from both sides
Show me.

Answer 16

X>2

Answer 17

Write out the left hand side, and at the end of it, add "-6". Copy the ">" sign. Write out the right hand side. At the end of it, add "-6". Show me the result.

Answer 18

X>8

Answer 19

What is -10 -6?

Answer 20

-16

Answer 21

Good, so the left hand side of the equation should be "-16". Now copy the inequality, and you have "-16 >"

What is 2x + 6 - 6?

Answer 22

-8

Answer 23

You don't know the value of x! How are you coming up with a number?

Again. What is "2x+6-6"?

Answer 24

I'm confuse

Answer 25

Simplify the expression "2x+6-6"

Answer 26

2x

Answer 27

Right.

\[-16 > 2x\]Apply the next step, divide both sides by 2

Answer 28

-8

Answer 29

What is -16/2?

Answer 30

\[\frac{-16}{2}>\frac{2x}2\]Simplify that.

Answer 31

Is -8

Answer 32

What is -8? Where did the inequality sign go? Where did the \(x\) go?

Answer 33

X>-8

Answer 34

Keep the stuff in the same order!

Answer 35

That's the answer

Answer 36

No, it's not! You have to maintain the order of the expressions unless you adjust the inequality sign.

What is the simplification of \[\frac{-16}{2}\]

Answer 37

8/1

Answer 38

No. -16 divided by 2 is not 8. 8*2 does not equal -16.

Answer 39

-8

Answer 40

That's better. What is the simplification of \[\frac{2x}{2}\]

Answer 41

1

Answer 42

Where did the \(x\) go?

Answer 43

X>1

Answer 44

What is the simplification of \[\frac{2x}2\]

Answer 45

1x

Answer 46

Yes.
so what is the simplification of \[\frac{-16}{2} >\frac{2x}{2}\]

Answer 47

1x

Answer 48

Incredible. What happened to all those numbers and the inequality sign?

Answer 49

-8>1x

Answer 50

Yes!!!

You can also write that as \[-8 > x\]or\[x < -8\]
Notice when I put \(x\) on the other side I changed the direction the inequality sign points.

\[x < -8\] and \[x > -8\] are NOT equivalent.

Answer 51

The arrow points at the smaller quantity, if you need a memory aid.

Answer 52

So x >-8

Answer 53

NO!!!!!!

Go read my last three posts again.

Answer 54

X<-8

Answer 55

Yes.

Here's the entire problem:

\[3x-10>5x+6\]Subtract \(3x\) from each side:
\[3x-10-3x > 5x+6-3x\]Collect like terms:
\[-10 > 2x+6\]Subtract 6 from each side:
\[-10-6 > 2x + 6 - 6\]Collect like terms:
\[-16 > 2x\]Divide each side by 8:
\[\frac{-16}{2} > \frac{2x}2\]Reduce fractions:
\[-8 > x\]Reverse order of inequality to put \(x\) on left side:\[x < -8\]

Write that down in your notebook. Study it carefully.