Question

Lesson 4: Solving Multi-Step Inequalities
Algebra 1 Unit 4: Solving Inequalities cca

Answer 1

5) C
6) A
7) D

Answer 2

Explanation:
5) Solve forinequality to get 'y' on its own
4y+3=y+6
4y-y=6-3
3y=3
y=3
Hence, \[y \le 1\]
This corresponds to option C on the question

6) -2y>2
Divide both sides by -2
Note: Since y has a negative value in front, when dividing it, the sign will be flipped
So it becomes y<-1
This corresponds to option A in the question

7) y/3<-1
Multiply both sides by 3
y<-3
This corresponds to option D


Let me know if you would like me to go over any of the above points.

Answer 3

no thank you thats perfect

Answer 4

how do i know if i should multiply or divide ?

Answer 5

The aim is to get 'y' on its own and move other values to the other side of the equation

So assume if we have an equation 2y=4
To get 'y' on its own, we would have to divide both sides by 2. It would look like:
(2y)/2 = (4)/2
This simplifies to y=2. Dividing both sides by 2 in this case allowed us to get y on its own.

In other cases we may have to multiply both sides to get y on its own
Suppose we have y/3=9
To get y on its own we would have to multiply both sides of the equation by 3. It would look like:
(y/3)*3 = (9)/3 .
This simplifies to: y=3. In this case, multiplying both sides allowed us to separate y on its own.

So to know whether to divide or multiply, you should look at the equation and try to work out how you can get y on its own. That should help you figure out whether to divide or multiply the value/s on both sides

Answer 6

i dont get it

Answer 7

but thank you so much

Answer 8

Let's take question 8 as an example
\[3y \le 2y + 3\]
3y=2y+3
You would start solving this equation by moving all the y values on one side of the equation
So it becomes
3y-2y=3

Subtracting the two y values gives us
1y=3

So now, we need to get y on its own without the value 1 in front of it
To get rid of the 1, we can divide both sides of the equation by 1
It would be as follow:
(1y)/y = (3)/1

This simplifies to give us y=3 and can now be written as \[y \le 3\]

Let me know what you didn't understand specifically about this problem so I can try explaining that part in more detail

Answer 9

i think i kinda get it

Answer 10

That's good. I would recommend going over the basics of 'Linear equations'. That will help you get better at it. Happy learning :)