or to calculate the distance they travel on a road trip when they their your average speed and time. You need an editor! haha That is not a sentenee (or a phrase)

sir got roasted no idea who is teaching us:))

Is it just me or does "to calculate the distance they travel on a road trip when they their your average speed and time" make no sense? When I type it in even my computer is trying to correct it. Is this just how you say it in math terms, or did they genuinely make a mistake?

That's a genuine mistake. Not positive what they were trying to get at, but I think it's simply "to calculate the distance they travel on a road trip based on average speed and time."

I am so confusion, why do they randomly times both sides by -1? They don't even do it in every equation!

Usually you do that in order to change the "x" into positive, because it's usually easier to think in that way, for example. -x = 2c + 5; after multiplying all by -1: x = -2c - 5. It's very simple as well, just invert the "+" and "-" signs in the whole equation. So, the multiplication by -1 is not random, usually it happens when x (or any other variable) has a negative value. I hope this is what you were asking, and I hope I helped. Keep at it.

Compound inequality is defined here as a combination of *two* inequalities. Is it really just limited to only *two inequalities* or can it be a combination of _*more than two* inequalities_?

yes it could but then you are going to get 3 answers and its going to look confusing if u draw it on a number line like (x<23, x>4, x<-1) hope this helps, have a great day!

is there a trick to remember them more easily

U could make it easy on urself and write on a peace of paper how an infinity etc. looks like so if u do the equation u can see by the answer that it is infinity solutions, non solutions or only 1 solutions, like 1 solution = (X=5) no solutions = (4=7) infinite solutions = (5=5) hope this helps, have a great day!

Anyone know how to do parabolas here.

What do you mean by "doing parabolas?" These are quadratic equaitons, and you could answer a lot of questions based on these.

Main content

Algebra 1

Course: Algebra 1 > Unit 2

Lesson 6: Compound inequalities

Solving equations & inequalities: FAQ

Q: is there a trick to remember them more easily

U could make it easy on urself and write on a peace of paper how an infinity etc. looks like so if u do the equation u can see by the answer that it is infinity solutions, non solutions or only 1 solutions, like 1 solution = (X=5) no solutions = (4=7) infinite solutions = (5=5) hope this helps, have a great day!

Q: Anyone know how to do parabolas here.

What do you mean by "doing parabolas?" These are quadratic equaitons, and you could answer a lot of questions based on these.

Google Classroom

Frequently asked questions about solving equations & inequalities

Why do we need to learn about linear equations?

Linear equations are a fundamental part of algebra, and they're often used to model real-world situations. For example, someone might use a linear equation to figure out how much money they will have left after spending a certain amount each week, or to calculate the distance they travel on a road trip when they know their average speed and time.

What does it mean to have variables on "both sides" of an equation?

This refers to a linear equation where we have a letter on both sides of the equals sign. For example,

3 x + 4 = 2 x + 7

has variables on both sides, but

3 x + 4 = 10

does not.

Practice with our Equations with variables on both sides exercise.

What's the difference between a multi-step inequality and a compound inequality?

A multi-step inequality has more than one operation in it, for example

2 x - 5 > 7

. A compound inequality is the combination of two inequalities, for example

x > 3 AND x < 7

Practice with our Multi-step linear inequalities exercise.

Practice with our Compound inequalities exercise.

How do we figure out the number of solutions to a linear equation?

One way to figure out how many solutions there are to a linear equation is to try to isolate the variable on one side of the equation.

For an equation with one solution, consider the equation $2 x + 3 = 11$ ‍. If we isolate the variable, we find that $x = 4$ ‍.
For an equation with no solution, consider the equation $2 x + 3 = 2 x + 7$ ‍. If we try to isolate the variable, we end up with a false statement like $3 = 7$ ‍ when we subtract $2 x$ ‍ from both sides of the equation. Since $3$ ‍ does not equal $7$ ‍, there is no solution to this equation.
For an equation with infinite solutions, consider the equation $2 x + 3 = 2 x + 3$ ‍. If we try to isolate the variable, we end up with a statement that is always true like $3 = 3$ ‍ when we subtract $2 x$ ‍ from both sides of the equation. Since 0 = 0 is always true, any value of $x$ ‍ will satisfy the original equation. So there are infinite solutions.

Practice with our Number of solutions to equations exercise.

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auskernlaw
Posted a year ago. Direct link to auskernlaw's post “or to calculate the dista...”
or to calculate the distance they travel on a road trip when they their your average speed and time.

You need an editor! haha That is not a sentenee (or a phrase)
Button navigates to signup pageComment on auskernlaw's post “or to calculate the dista...”
(12 votes)
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- yeh24642
  Posted a year ago. Direct link to yeh24642's post “sir got roasted no idea w...”
  sir got roasted no idea who is teaching us:))
  Comment on yeh24642's post “sir got roasted no idea w...”
  (5 votes)
katieblue
Posted 10 months ago. Direct link to katieblue's post “I am so confusion, why do...”
I am so confusion, why do they randomly times both sides by -1? They don't even do it in every equation!
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(3 votes)
Answer
- Algirdas Varnagiris
  Posted 10 months ago. Direct link to Algirdas Varnagiris's post “Usually you do that in or...”
  Usually you do that in order to change the "x" into positive, because it's usually easier to think in that way, for example. -x = 2c + 5; after multiplying all by -1: x = -2c - 5. It's very simple as well, just invert the "+" and "-" signs in the whole equation. So, the multiplication by -1 is not random, usually it happens when x (or any other variable) has a negative value. I hope this is what you were asking, and I hope I helped. Keep at it.
  Button navigates to signup page
  (10 votes)
isaiah.sears
Posted 9 months ago. Direct link to isaiah.sears's post “Is it just me or does "to...”
Is it just me or does "to calculate the distance they travel on a road trip when they their your average speed and time" make no sense? When I type it in even my computer is trying to correct it. Is this just how you say it in math terms, or did they genuinely make a mistake?
Button navigates to signup pageButton navigates to signup page
(4 votes)
Answer
- Krystyna Davis
  Posted 9 months ago. Direct link to Krystyna Davis's post “That's a genuine mistake....”
  That's a genuine mistake. Not positive what they were trying to get at, but I think it's simply "to calculate the distance they travel on a road trip based on average speed and time."
  Button navigates to signup page
  (6 votes)
dysmas-on-the-run
Posted 3 months ago. Direct link to dysmas-on-the-run's post “Compound inequality is de...”
Compound inequality is defined here as a combination of two inequalities. Is it really just limited to only two inequalities or can it be a combination of more than two inequalities?
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(3 votes)
Answer
- MR.DeLange
  Posted 3 months ago. Direct link to MR.DeLange's post “yes it could but then you...”
  yes it could but then you are going to get 3 answers and its going to look confusing if u draw it on a number line like (x<23, x>4, x<-1) hope this helps, have a great day!
  Comment on MR.DeLange's post “yes it could but then you...”
  (3 votes)
amoren
Posted 4 months ago. Direct link to amoren's post “is there a trick to remem...”
is there a trick to remember them more easily
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(1 vote)
Answer
- MR.DeLange
  Posted 3 months ago. Direct link to MR.DeLange's post “U could make it easy on u...”
  U could make it easy on urself and write on a peace of paper how an infinity etc. looks like so if u do the equation u can see by the answer that it is infinity solutions, non solutions or only 1 solutions, like
  
  1 solution = (X=5)
  
  no solutions = (4=7)
  
  infinite solutions = (5=5)
  
  hope this helps, have a great day!
  Button navigates to signup page
  (6 votes)
Quelyn Young
Posted a month ago. Direct link to Quelyn Young's post “is there a better way to ...”
is there a better way to remember ?
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(3 votes)
Answer
FarajeB
Posted 2 months ago. Direct link to FarajeB's post “is there any tricks or wa...”
is there any tricks or ways to remember this more efficiently?
Button navigates to signup pageComment on FarajeB's post “is there any tricks or wa...”
(3 votes)
Answer
Joshua Yu
Posted 10 months ago. Direct link to Joshua Yu's post “Anyone know how to do par...”
Anyone know how to do parabolas here.
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(0 votes)
Answer
- David Severin
  Posted 10 months ago. Direct link to David Severin's post “What do you mean by "doin...”
  What do you mean by "doing parabolas?" These are quadratic equaitons, and you could answer a lot of questions based on these.
  Comment on David Severin's post “What do you mean by "doin...”
  (6 votes)
Camron
Posted 2 months ago. Direct link to Camron's post “what if it's a word probl...”
what if it's a word problem? and what if it has to do with averages?
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(1 vote)
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MatthewS
Posted a month ago. Direct link to MatthewS's post “Help me I don't under sta...”
Help me I don't under stand
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(1 vote)
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