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OpenStudy (anonymous):
Please help!!? Medal will be REWARDED!:)
Solve the inequality: (x + 3)(x - 5) > 0.
A. x < -3 or x > 5
B. x < -5 or x > 3
C. -3 < x < 5
D. -5 < x < 3
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
Set up a sign chart first
|dw:1363735694388:dw|
jimthompson5910 (jim_thompson5910):
each number on that chart makes (x + 3)(x - 5) equal to zero
jimthompson5910 (jim_thompson5910):
You just need to test values that lie in the regions between (or to the left/right) of each marker
OpenStudy (anonymous):
I got C for an answer
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jimthompson5910 (jim_thompson5910):
one sec
jimthompson5910 (jim_thompson5910):
it's not C
jimthompson5910 (jim_thompson5910):
pick a number between -3 and 5
0 is a good number to pick
(x + 3)(x - 5) > 0
(0 + 3)(0 - 5) > 0
(3)(-5) > 0
-15 > 0
which is FALSE
jimthompson5910 (jim_thompson5910):
so -3 < x < 5 is NOT part of the solution set
OpenStudy (anonymous):
so would you say that D would be our answer?
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jimthompson5910 (jim_thompson5910):
no D isn't it either
jimthompson5910 (jim_thompson5910):
the endpoints are flipped in sign and value, it's just way off
OpenStudy (anonymous):
oh so it must be B?
jimthompson5910 (jim_thompson5910):
look at the sign chart
jimthompson5910 (jim_thompson5910):
which values am I using?
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OpenStudy (anonymous):
the X value
jimthompson5910 (jim_thompson5910):
which values am I using here
|dw:1363736739491:dw|
OpenStudy (anonymous):
-3, 5
jimthompson5910 (jim_thompson5910):
so that's why it's not B
jimthompson5910 (jim_thompson5910):
so it has to be A
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OpenStudy (anonymous):
alright which leads our answer to A obviously lol:)
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