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Mathematics 16 Online
OpenStudy (fouzberzerk):

Will give fan and medal! Which statement is true? A. |–8|< |8| B. |–2| > 1 C. |–7| = –7 D. |12| > |–15|

OpenStudy (anonymous):

i'll help

OpenStudy (joachimngeny):

B

OpenStudy (fouzberzerk):

Okay

OpenStudy (anonymous):

lel

OpenStudy (anonymous):

well then no help needed

OpenStudy (fouzberzerk):

I have a few more questions

OpenStudy (fouzberzerk):

Which list of values is ordered from least to greatest? A. |–5|, 0, 3, –|–4| B. –7, –|–3|, 0, |–4| C. –|6|, |–3|, 1, 4 D. |–12|, –|–5|, 2, |–8|

OpenStudy (anonymous):

all you need to know to solve these questions is that |-a|=a |a|=a

OpenStudy (anonymous):

apply that rule of modulus and you should solve it

OpenStudy (fouzberzerk):

Can I get some help besides that? I'm clearly having issues understanding.

OpenStudy (joachimngeny):

|-10| mean that how far the value is from zero so from this instance its 10 units, so basically drop the negatives signs.

OpenStudy (anonymous):

yep so |...| is simply called the 'modulus of what ever is in between these vertical lines so all we do is take the positive number inside the lines

OpenStudy (anonymous):

the value for |1| is simply the positive value of 1, which is 1. the value for |-1| is simply the positive value of the number, which too is 1

OpenStudy (fouzberzerk):

That doesn't apply too the question above though.

OpenStudy (fouzberzerk):

|–5|, 0, 3, –|–4| B. –7, –|–3|, 0, |–4| C. –|6|, |–3|, 1, 4 D. |–12|, –|–5|, 2, |–8| None of the first numbers are the smallest.

OpenStudy (fouzberzerk):

?

OpenStudy (anonymous):

yes there is one

OpenStudy (fouzberzerk):

Is it A?

OpenStudy (anonymous):

go through each one properly

OpenStudy (anonymous):

lets start with A

OpenStudy (anonymous):

|–5|, 0, 3, –|–4|

OpenStudy (anonymous):

what is |-5|

OpenStudy (fouzberzerk):

5

OpenStudy (anonymous):

so we have order 5,0,3 right?

OpenStudy (fouzberzerk):

Yes, it says go least too greatest.

OpenStudy (anonymous):

correct. so that is wrong

OpenStudy (fouzberzerk):

B. –7, –|–3|, 0, |–4|f

OpenStudy (fouzberzerk):

B. –7, –|–3|, 0, |–4|

OpenStudy (anonymous):

what is -|-3|

OpenStudy (fouzberzerk):

-3

OpenStudy (anonymous):

correct what is |-4|

OpenStudy (fouzberzerk):

4

OpenStudy (anonymous):

so we have order -7,-3,0,4

OpenStudy (anonymous):

is that smallest to greatest?

OpenStudy (fouzberzerk):

Ah, I see.

OpenStudy (fouzberzerk):

Next question

OpenStudy (fouzberzerk):

Which lists all the integer solutions of the equation |x| = 4? A. –4 and 4 B. 0 and 4 C. –4 only D. 4 only

OpenStudy (anonymous):

thats apply the rule |a|=a and |-a|=a

OpenStudy (anonymous):

same concept

OpenStudy (anonymous):

what is |4| =? and |-4|=?

OpenStudy (fouzberzerk):

So D correct?

OpenStudy (anonymous):

why d?

OpenStudy (fouzberzerk):

|-4| = 4

OpenStudy (fouzberzerk):

Sorry, A?

OpenStudy (anonymous):

good!

OpenStudy (fouzberzerk):

That is correct?

OpenStudy (anonymous):

you used your brain!

OpenStudy (anonymous):

yep

OpenStudy (fouzberzerk):

Which values satisfy the inequality? |z| ≤ 5 Choose all answers that are correct. A. z = –6 B. z = –5 C. z = –1 D. z = 8

OpenStudy (fouzberzerk):

It's a multi-choice.

OpenStudy (anonymous):

i figured

OpenStudy (anonymous):

all that is saying, is what values of z can take so it can be less than or equal to 5

OpenStudy (anonymous):

so is a correct? and explain why it is or isn't

OpenStudy (fouzberzerk):

So, A, B, and C correct?

OpenStudy (fouzberzerk):

Those are all less then 5.

OpenStudy (anonymous):

why is A right

OpenStudy (fouzberzerk):

Because -6 is less than 5.

OpenStudy (fouzberzerk):

Wait, I see the trickery here.

OpenStudy (anonymous):

but you plug it into the |z| so what is z in a

OpenStudy (anonymous):

haha good

OpenStudy (fouzberzerk):

It would be B and C.

OpenStudy (anonymous):

yep!

OpenStudy (fouzberzerk):

Alright, last question m8

OpenStudy (anonymous):

haha no problem

OpenStudy (fouzberzerk):

Sorry, that was the last question. I will fan you and medal you as promised as I got a 100%

OpenStudy (anonymous):

haha thanks!

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