Which of the following points are solutions to the system of inequalities shown below?
y>6x+7
y<6x+9
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OpenStudy (anonymous):
A. (-4, 32)
B. (3, 26)
C. (3, 25)
D. (4, 33)
OpenStudy (anonymous):
C
OpenStudy (anonymous):
theres more than 1 answers
OpenStudy (anonymous):
it's not C as that would make 25>25 and that's false.
OpenStudy (anonymous):
Its B
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OpenStudy (anonymous):
I don't understand this at all
OpenStudy (anonymous):
plug them in X and Y
OpenStudy (anonymous):
Can you please explain this?
OpenStudy (anonymous):
put the values you have supplied into the each eqn i.e. for the first one
y>6x+7
32 > 6(-4)+7
32 > -24 + 7
32 > -17
Thats true now do the same thing for the other eqn and if they are both true thats an answer :D
OpenStudy (anonymous):
the values are in the format (x,y) so substitute (-4,32) x=-4 y=32
do you see
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OpenStudy (anonymous):
Kind of
OpenStudy (anonymous):
The answers are B and D
26>6(3)+7 TRUE
26 < 6(3) + 9 TRUE
also
33 > 6(4)+7 TRUE
33 < 6(4) +9 TRUE
OpenStudy (anonymous):
or
26>25
26<27
OpenStudy (anonymous):
Check D for yourself and tell me if its a solution , as I actually think its not!
OpenStudy (anonymous):
How would I check it?
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OpenStudy (anonymous):
ok you were given (4,33) so x=4 y=33
plug them in
33 > 6(4)+7 ; now tell me if that's true or not
33 < 6(4)+9 ; now tell me if that's true or not
OpenStudy (anonymous):
still thinking...
OpenStudy (anonymous):
sooooo
is 33 > 24+7 ?
is 33 < 24+9 ?
OpenStudy (anonymous):
33>24+7
OpenStudy (anonymous):
means is 33 bigger than 31
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OpenStudy (anonymous):
also is 33 less than 33
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
ok so it gets past the first equation what about the second?
OpenStudy (anonymous):
this question: 33 < 24+9 ?
OpenStudy (anonymous):
means is 33 less than 33?
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OpenStudy (anonymous):
No it is equal
OpenStudy (anonymous):
HA! so its false and is not a solution because they both have to be true :D
OpenStudy (anonymous):
the question become
A
32 > -17 TRUE
32<-15 FALSE
B
26 > 25 TRUE
26 < 27 TRUE
C
25>25 FALSE
25<27 TRUE
D
33>31 TRUE
33<33 FALSE
The only one with two true statements is B
OpenStudy (anonymous):
Ok thanks also are you abloe to help me on two step equations?
OpenStudy (anonymous):
yep, post it and I will try to help
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OpenStudy (anonymous):
I have to work backwards like this...|dw:1338662886287:dw| and plug in the numbers.
OpenStudy (anonymous):
ok whats the equation?
OpenStudy (anonymous):
i have to close this
OpenStudy (anonymous):
5.12=n/6.3-11.1
OpenStudy (anonymous):
post the question on the main thread
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