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Mathematics 16 Online
OpenStudy (faman39):

Please help!

OpenStudy (anonymous):

What do you need help with?

OpenStudy (faman39):

OpenStudy (faman39):

how I dont understand all this be solve and what match with what

OpenStudy (anonymous):

I see, what you're supposed to do is simplify each equation, and then it will make more sense which are the answers. Do you need help with that?

OpenStudy (faman39):

Yes, cuz i have no idea.

OpenStudy (anonymous):

Okay, well. Do you want me to explain it well? Or are you just looking for a solution?

OpenStudy (faman39):

Yes, please i dont understand each of this

OpenStudy (anonymous):

Okay, so let's start with the first equation\[-2(1+z)+4z+5<11\] We simplify the right side\[-2+-2z+4z+5 <11\]\[2z+3<11\]\[2z<8\]\[z<4\]

OpenStudy (faman39):

So does it match with 3 or 2?

OpenStudy (anonymous):

So, I believe you're right when you put B, because it is the "greatest" solution.

OpenStudy (faman39):

ok

OpenStudy (anonymous):

Let's move on to the next one.

OpenStudy (faman39):

sure

OpenStudy (anonymous):

\[3z-10+5z-8<6\]\[8z-18<6\]\[8z<24\]\[z<3\]

OpenStudy (faman39):

So this match with 3

OpenStudy (anonymous):

Uhh, wait one minute, let me finish the rest of them. This is an odd question, heh.

OpenStudy (faman39):

ok take your time

OpenStudy (anonymous):

\[z+5-(1+6z)>-1\]\[z+5-1-6z>-1\]\[z+4-6z>-1\]\[-5z>3\]\[z>-3/5\]

OpenStudy (anonymous):

I think for the 3rd equation you need to put C, because it is the "greatest" solution being that is is the furthest one away.

OpenStudy (anonymous):

Oh, wait! I forgot to flip the sign one moment.

OpenStudy (anonymous):

\[z<-3/5\] you flip the sign because you divided by a negative.

OpenStudy (faman39):

got a decimall number

OpenStudy (anonymous):

\[-8z-19+z>-5\]\[-7z-19>-5\]\[-7z>14\]\[z<-2\]

OpenStudy (anonymous):

Yeah, let me relook over my math for the 3rd one.

OpenStudy (faman39):

@zepdrix all this still confusing to me

OpenStudy (faman39):

Can you help me?

zepdrix (zepdrix):

Which one you stuck on? D:

OpenStudy (faman39):

all of them

OpenStudy (faman39):

I will be right back in a few minute

zepdrix (zepdrix):

K let's look at the last one a sec.\[\large-8z-19+z \gt -5\]We'll start by combining like terms, the -8z and z.\[\large -7z-19 \gt -5\]Add 19 to both sides,\[\large -7z \gt14\] This is a spot where you have to be careful. Multiplying or Dividing by a negative value will FLIP the inequality sign. So we'll proceed by dividing by -7,\[\large z \lt -2\]

zepdrix (zepdrix):

Take a look at those steps, see if they make sense to you. So let's think about this inequality a second. Z is LESS THAN -2. The LARGEST integer that would make this inequality true would be -3 correct? Because -3 is less than -2.

OpenStudy (faman39):

No sorry for late answer :( still didnt make sense

zepdrix (zepdrix):

Which part? :o

OpenStudy (faman39):

Does first match up with 2, is that what you meant?

zepdrix (zepdrix):

I didn't do the first one, I was working on the last one.

OpenStudy (faman39):

I was trying to find out where i m wrong

OpenStudy (faman39):

try an to understand how all of them match correctly

zepdrix (zepdrix):

Well look at them one at a time. In each case, you're given an inequality with ONE VARIABLE. Since the inequality has only one variable, we can solve for that variable. It looks like you have the wrong answer for the 4th equation. Scroll back up, I listed detailed steps on how to solve the 4th one. See if any of the steps confuse you.

OpenStudy (faman39):

Can you tell me others also, cuz i m having confusion 3rd one

OpenStudy (faman39):

I m ridiculously crazy from many hours to understand all of it

zepdrix (zepdrix):

\[\large z+5-(1+6z) \gt-1\]We'll start by distributing the negative to each term inside the brackets,\[\large z+5-1-6z \gt -1\]Combine the z terms,\[\large 5-1-5z \gt -1\]Combine the 5 and 1,\[\large 4-5z \gt-1\]Subtract 4 from each side,\[\large -5z \gt-5\] Again we have to be careful here. When we divide by a negative number we'll have to FLIP the direction of the inequality sign. Dividing both sides by -5 gives us,\[\large z \lt 1\] See how the inequality sign flipped?

zepdrix (zepdrix):

What is the LARGEST integer below the number 1? That is the value that will make z true in the 3rd equation.

OpenStudy (faman39):

sorry

zepdrix (zepdrix):

1 is not less than 1 :D 1 is equal to 1. Think one lower than that.

OpenStudy (faman39):

0

OpenStudy (faman39):

how do you got zero

OpenStudy (faman39):

Am i wrong?

OpenStudy (faman39):

@satellite73 can you explain me all this

OpenStudy (faman39):

i cant still understand all of them

OpenStudy (faman39):

@Carl_Pham can you help me wit it

OpenStudy (faman39):

@AravindG help

OpenStudy (aravindg):

YOU just need to open the brackets and bring all constants to RHS

OpenStudy (faman39):

Can you show it how all can be n match up, i still couldnt get correct answer of all and didnt even understand any of it

OpenStudy (faman39):

@satellite73 can you help me ?

OpenStudy (faman39):

@mathstudent55 can you able to help me with this?

OpenStudy (aravindg):

@Faman39 well i think most of them have been solved above .tell me where exactly u have doubt

OpenStudy (faman39):

ok

OpenStudy (faman39):

actually i m confuse because, i think whenever i tried to solve n match, i cant

OpenStudy (faman39):

I dont know, why my head isnt working today, where everyone did so great

OpenStudy (faman39):

Sorry everybody, you all are totally amazing, i really appreciate all of you to come here n helping me.

OpenStudy (faman39):

Honestly all of you are totally rocking, thank you so much guys for helping me by tolerating me, love you guys

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