Peer Response 1

· Respond to your classmates’ posts,

PEERS RESPONSE:

Hello all!

Starting with:

-18< 4x-2< 30                     I will simply start this one by adding 2 to all three parts

+2.      +2. +2                       This will then take the two out of the middle section

-16< 4x< 32                         Next, I will divide all three parts by 4.

4. 4.    4

-4< x< 8                               And this is my final answer. This is also how you write a compound inequality algebraically.

This can be written as an intersection down below:

[-4, ∞) U (∞, 8]

This can also be drawn out as below:

-------[-------/------]----

              -4.       0.        8.   

Now for my “or” compound inequality I have two different equations:

2x+1<-5 or 2+3x>11

The first one I am going to work out will be 2x1<-5

2x+1<-5                          First step is to subtract the 1 from both sides

    -1   -1          

2x<-6                               Second you will then divide each side by two

/2.   /2

X<-3                                And this is what I am left with for the first part of my “or”

 

Now for the second equation I will be doing almost the exact same thing. 

2+3x>11                           First step for this equation will be to subtract the 2 from both sides

-2.      -2

3x>-9.                               Second step is the exact same. Divide each side by 3

/3.   /3.

x>3.                                 And this is my final equation for the second part of my “or”  

This can be written as an intersection below”

[-∞, -3) U (3, ∞]

This can also be drawn out as below

----[-------/-----/----/------]----

         - ∞.    -3.   0    3.      ∞

-Taelor