Mathematics
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OpenStudy (fouzberzerk):
Will give fan and medal! Which statement is true?
A.
|–8|< |8|
B.
|–2| > 1
C.
|–7| = –7
D.
|12| > |–15|
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OpenStudy (anonymous):
i'll help
OpenStudy (joachimngeny):
B
OpenStudy (fouzberzerk):
Okay
OpenStudy (anonymous):
lel
OpenStudy (anonymous):
well then no help needed
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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.
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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.
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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
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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.
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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
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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.
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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|=?
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OpenStudy (fouzberzerk):
So D correct?
OpenStudy (anonymous):
why d?
OpenStudy (fouzberzerk):
|-4| = 4
OpenStudy (fouzberzerk):
Sorry, A?
OpenStudy (anonymous):
good!
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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.
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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.
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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
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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%
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OpenStudy (anonymous):
haha thanks!