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

- fouzberzerk

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- katieb

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- anonymous

i'll help

- joachimngeny

B

- fouzberzerk

Okay

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## More answers

- anonymous

lel

- anonymous

well then no help needed

- fouzberzerk

I have a few more questions

- 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|

- anonymous

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

- anonymous

apply that rule of modulus and you should solve it

- fouzberzerk

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

- joachimngeny

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

- 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

- 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

- fouzberzerk

That doesn't apply too the question above though.

- 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.

- fouzberzerk

?

- anonymous

yes there is one

- fouzberzerk

Is it A?

- anonymous

go through each one properly

- anonymous

lets start with A

- anonymous

|–5|, 0, 3, –|–4|

- anonymous

what is |-5|

- fouzberzerk

5

- anonymous

so we have order 5,0,3 right?

- fouzberzerk

Yes, it says go least too greatest.

- anonymous

correct. so that is wrong

- fouzberzerk

B.
–7, –|–3|, 0, |–4|f

- fouzberzerk

B.
–7, –|–3|, 0, |–4|

- anonymous

what is -|-3|

- fouzberzerk

-3

- anonymous

correct what is |-4|

- fouzberzerk

4

- anonymous

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

- anonymous

is that smallest to greatest?

- fouzberzerk

Ah, I see.

- fouzberzerk

Next question

- 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

- anonymous

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

- anonymous

same concept

- anonymous

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

- fouzberzerk

So D correct?

- anonymous

why d?

- fouzberzerk

|-4| = 4

- fouzberzerk

Sorry, A?

- anonymous

good!

- fouzberzerk

That is correct?

- anonymous

you used your brain!

- anonymous

yep

- 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

- fouzberzerk

It's a multi-choice.

- anonymous

i figured

- anonymous

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

- anonymous

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

- fouzberzerk

So, A, B, and C correct?

- fouzberzerk

Those are all less then 5.

- anonymous

why is A right

- fouzberzerk

Because -6 is less than 5.

- fouzberzerk

Wait, I see the trickery here.

- anonymous

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

- anonymous

haha good

- fouzberzerk

It would be B and C.

- anonymous

yep!

- fouzberzerk

Alright, last question m8

- anonymous

haha no problem

- fouzberzerk

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

- anonymous

haha thanks!

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