Question

Solve the following inequality: 38 < 4x + 3 + 7 – 3x.

A. x < 28
B. x > 28
C. x < 4
D. x > 4

Answer 1

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

Answer 2

This one does but has a few added steps

Answer 3

@breanna1999 like what?

Answer 4

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

Answer 5

@breanna1999 how? and what do you mean

Answer 6

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

Answer 7

@breanna1999 ohh okay, so after that whats next?

Answer 8

Combine your like terms on the right side

Answer 9

@breanna1999 starting with 4x + -3x ?

Answer 10

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

Answer 11

1x ?

Answer 12

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

Answer 13

why just say x when it's x1 ?

Answer 14

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

Answer 15

how?

Answer 16

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

Answer 17

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

Answer 18

I'm just wondering

Answer 19

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

Answer 20

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

Answer 21

No it's only if you see 1x

Answer 22

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

Answer 23

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

Answer 24

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

Answer 25

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

Answer 26

Simplify this expression: 4p + 9 + (–7p) + 2 = ?

A. 3p + 7
B. –3p + 11
C. 3p + 11
D. 11p + 11

Answer 27

This one involes you needing to solve it

Answer 28

Solve the following inequality: 38 < 4x + 3 + 7 – 3x.

A. x < 28
B. x > 28
C. x < 4
D. x > 4

Answer 29

So go ahead and combine your like terms on this equation

Answer 30

ohh so the first question i did not solve it?

Answer 31

but this one i have to solve it?

Answer 32

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

Answer 33

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

Answer 34

38=x 10?

Answer 35

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

Answer 36

im not really sure, can you show me please?

Answer 37

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

Answer 38

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

Answer 39

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

Answer 40

so subtract 10 from 38 and 10?

Answer 41

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

Answer 42

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

Answer 43

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

Answer 44

@breanna1999 is it free?

Answer 45

It is

Answer 46

okay thank you

Answer 47

so the answer is B. right?

Answer 48

Yes

Answer 49

yessss! thank you