Solve the following inequality: 38 < 4x + 3 + 7 – 3x.
A. x < 28
B. x > 28
C. x < 4
D. x > 4

- jakyfraze

Solve the following inequality: 38 < 4x + 3 + 7 – 3x.
A. x < 28
B. x > 28
C. x < 4
D. x > 4

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- schrodinger

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- jakyfraze

@breanna1999 does this follow the same rule like the other one?

- breanna1999

This one does but has a few added steps

- jakyfraze

@breanna1999 like what?

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## More answers

- breanna1999

You must first change the < sign to an equal sign so you can solve the problem

- jakyfraze

@breanna1999 how? and what do you mean

- breanna1999

The right side of the problem has your terms that you must combine and the left side a single term all by itself. This problem is asking you to solve it so you will have 38<4x+3+7-3x becomes 38=4x+3+7-3x

- jakyfraze

@breanna1999 ohh okay, so after that whats next?

- breanna1999

Combine your like terms on the right side

- jakyfraze

@breanna1999 starting with 4x + -3x ?

- breanna1999

Yes and 4x+(-3x)=what's

- jakyfraze

1x ?

- breanna1999

Yes or you could just say x. Now to the next one

- jakyfraze

why just say x when it's x1 ?

- breanna1999

1x is equal to x because there is an imaginary 1 in front of the x

- jakyfraze

how?

- jakyfraze

if it was 2x 3x 4x 5x 6x it will still equal x?

- breanna1999

You can just write it as 1x If it helps you

- jakyfraze

I'm just wondering

- breanna1999

My teacher always taught me that if you have 1x you can just leave it as x because of the understood 1 in front of it

- jakyfraze

so even if it was 2x and up ? it will still be as x. or is it just the number 1x = x

- breanna1999

No it's only if you see 1x

- jakyfraze

so your saying if it was 2x it will equal 2x, right?

- jakyfraze

sorry if I'm confusing you, I'm just confuse my self :(

- breanna1999

Yes 2x=2x and 3x=3x and so on

- jakyfraze

ohh okay thank i was confuse for a minute. so whats the difference between the first question i ask and this one?

- jakyfraze

Simplify this expression: 4p + 9 + (–7p) + 2 = ?
A. 3p + 7
B. –3p + 11
C. 3p + 11
D. 11p + 11

- breanna1999

This one involes you needing to solve it

- jakyfraze

Solve the following inequality: 38 < 4x + 3 + 7 – 3x.
A. x < 28
B. x > 28
C. x < 4
D. x > 4

- breanna1999

So go ahead and combine your like terms on this equation

- jakyfraze

ohh so the first question i did not solve it?

- jakyfraze

but this one i have to solve it?

- breanna1999

You solved by combining like terms for the first one for the second one you have a two step equation

- breanna1999

So far we have 38=1x+3+7

- jakyfraze

38=x 10?

- breanna1999

38=x+10 is correct now we have to solve the equation. Do you know how to do this?

- jakyfraze

im not really sure, can you show me please?

- breanna1999

Yes I can
38=x+10
38-10=x+10-10
28=x
28

- jakyfraze

i dont understand the second step. how did you do that or get that? I'm sorry :(

- breanna1999

This question is askin you to solve to find the inequality. You must have x on one side by itself. In order to do this you must subtract 10 from both sides

- jakyfraze

so subtract 10 from 38 and 10?

- breanna1999

Yes 10-10 equals 0 and 38-10 equals 28

- jakyfraze

ohh, wow. were did you learn this? i want to learn more of this

- breanna1999

I learned it in algebra 1. There's a website called Khan Academy that can go into further detail

- jakyfraze

@breanna1999 is it free?

- breanna1999

It is

- jakyfraze

okay thank you

- jakyfraze

so the answer is B. right?

- breanna1999

Yes

- jakyfraze

yessss! thank you

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