Question

*Will Medal!!!*

Given: - 4x/7 > 10.
Choose the solution set.
{x | x < -35/2}
{x | x > -35/2}
{x | x < -40/7}
{x | x > -40/7}

Answer 1

So, if that was an equals sign, would you know how to solve for x?

Answer 2

multiply by 7. since -4x is divided by 7. then i would take 70 and divide it by -4?

Answer 3

yes, that is exactly what you would do

Answer 4

Now here is the only thing you need to add for when you have an inequality,

Answer 5

yay! thank you:)

Answer 6

If you are multiplying/dividing by a negative number, you flip the inequality around so that it is the exact opposite of what you started with.

Answer 7

So now, can you tell me which is your answer using that rule?

Answer 8

so A?

Answer 9

Yes!

Answer 10

yay!

Answer 11

woot woot

Answer 12

thank you so much!

Answer 13

Good work, just remember they are the same as an equals sign except for that one rule

Answer 14

that makes sense:) I've sort of done this stuff in middle school. but now I'm relearning it for Algebra 1. and its starting to come back to me:)

Answer 15

It's all good, and just remember, some of this stuff won't come over night, don't sweat it, just ask for help early and don't be discouraged

Answer 16

so on my next question its -7x<-21 and i got x is 3 would i still switch the inequality sign?

Answer 17

so any time you multiply divide by a negative you flip the sign. You flip the sign each time, so if you do it twice, you would end up flipping it twice.

Answer 18

so, did you multiply/divide by a negative once or twice?

Answer 19

once. i took -21 divided by -7.

Answer 20

so how many times do you flip your inequality?

Answer 21

once?

Answer 22

yep

Answer 23

that's all there is to it, you got this

Answer 24

so x>3?

Answer 25

yea, do you wanna know how to check it?

Answer 26

yeah. and i had one more question for you if that was alright..

Answer 27

sure create a new post for the new question

Answer 28

okay

Answer 29

and as for checking, so you got x>3, so pick any value for x that satisfies being >3. Now, plug that into the original, is it a true statement?

Answer 30

yes:)

Answer 31

That's how you check it. Not too bad right?