Please i need help with my math math is not a good subject for me (determine whether each number is a solution of the given inequality 8m-6≤10
A.2
B.0
C.5
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OpenStudy (skullpatrol):
Any ideas?
OpenStudy (anonymous):
Maybe A?
OpenStudy (anonymous):
Yea sorry i dont know much about this math is my worst subject:(
OpenStudy (skullpatrol):
No problem, it takes a lot of practice...so replace "m" in your inequality with "2" and simplify the left hand side...do you get a true statement in the end?
OpenStudy (skullpatrol):
Did I ask you to do that?
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OpenStudy (skullpatrol):
replace "m" in your inequality with "2" and simplify the left hand side.
OpenStudy (anonymous):
wouldnt it be B then?
OpenStudy (skullpatrol):
There are actually two answers to this question.
OpenStudy (anonymous):
but wouldnt it just be B.?
OpenStudy (skullpatrol):
Yes, but look at A also...
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OpenStudy (skullpatrol):
The concept of a variable is very important to understand in math, it means you can REPLACE the letter with a numeral, right?
OpenStudy (anonymous):
Right
OpenStudy (skullpatrol):
Is 10 less than or equal to 10?
OpenStudy (anonymous):
equal?
OpenStudy (skullpatrol):
10 = 10
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OpenStudy (anonymous):
K
OpenStudy (skullpatrol):
So,
10 less than or equal to 10
is a true statement and that makes it a solution.
OpenStudy (anonymous):
I just told u it was equal..
OpenStudy (skullpatrol):
I am looking at the truth of the statement to find out if it is a solution.
OpenStudy (anonymous):
Ok..
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OpenStudy (skullpatrol):
B. says -6≤10 which is obviously true.
OpenStudy (anonymous):
Right
OpenStudy (skullpatrol):
variable: A symbol used to represent one or more numbers.
OpenStudy (skullpatrol):
Replacing each variable in an open sentence by each of the values in its domain is a way to find solutions of an open sentence.
OpenStudy (anonymous):
I have another one that seems harder then first one do u think u can help me one more time..?
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OpenStudy (skullpatrol):
I can try...
OpenStudy (anonymous):
thank u i really appreciate your help
OpenStudy (anonymous):
\[6-n \n{ \ge }{ 11 }\]
OpenStudy (anonymous):
that n should be under the 6-n
OpenStudy (anonymous):
options are
A.0.5
B.2
C.4
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OpenStudy (skullpatrol):
$$\frac{6-n}{n} \ge 11$$
OpenStudy (anonymous):
yes
OpenStudy (skullpatrol):
What does option A. mean?
OpenStudy (anonymous):
Honestly I don't know
OpenStudy (skullpatrol):
What do letters stand for?
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OpenStudy (anonymous):
A letter in math can stand for any number
OpenStudy (skullpatrol):
Yes, so replace the letter "n" with option A.
OpenStudy (anonymous):
both n's ?
OpenStudy (skullpatrol):
$$\frac{6-n}{n} \ge 11$$
A. 0.5
$$\frac{6-0.5}{0.5} \ge 11$$
OpenStudy (anonymous):
okay i did that
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OpenStudy (skullpatrol):
Yes, both n's...now simplify the left hand side
OpenStudy (anonymous):
i came out with \[11\ge11\]
OpenStudy (skullpatrol):
Is that statement true or false?
OpenStudy (anonymous):
False.
OpenStudy (skullpatrol):
Why is it false that 11 (is greater than) OR (equal to) 11
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OpenStudy (anonymous):
Well its not greater then because there the same number
OpenStudy (anonymous):
Someone please help me
OpenStudy (skullpatrol):
They are equal, so that makes the statement true.
OpenStudy (anonymous):
Oh
OpenStudy (anonymous):
wait soo it would be A.?
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OpenStudy (skullpatrol):
That is one solution. You still have to check the others...
OpenStudy (anonymous):
Oh okaay
OpenStudy (anonymous):
the next one came out as \[4\ge11\]
OpenStudy (skullpatrol):
True or false
OpenStudy (anonymous):
false.?
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OpenStudy (skullpatrol):
$$\frac{6-n}{n} \ge 11$$ let n=2 $$\frac{6-2}{2} \ge 11$$
OpenStudy (skullpatrol):
$$\frac{4}{2} \ge 11$$
OpenStudy (skullpatrol):
Is 2 greater than or equal to 11?
OpenStudy (anonymous):
greater..?
OpenStudy (skullpatrol):
2 is greater than 11?
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OpenStudy (anonymous):
i mean equal sorry
OpenStudy (skullpatrol):
2 = 11?
OpenStudy (anonymous):
Idk im lost like very lost thats why i need help
OpenStudy (skullpatrol):
$$\frac{6-n}{n} \ge 11$$ We start with this inequality and we want to find "What value" will make it true?
OpenStudy (anonymous):
the value that completes the problem..
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OpenStudy (skullpatrol):
Yes, if by "completes" you mean "gives you a TRUE statement"?
OpenStudy (anonymous):
Yes
OpenStudy (skullpatrol):
If we let n=2 we get $$\frac{6-n}{n} \ge 11$$ $$\frac{6-2}{2} \ge 11$$ $$\frac{4}{2} \ge 11$$$$2 \ge 11$$ Is this true?
OpenStudy (skullpatrol):
Yes or no?
OpenStudy (anonymous):
Yes
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