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OpenStudy (anonymous):
Which inequality expresses all the solutions to 4 ≤ 8 − 2x < 6?
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OpenStudy (anonymous):
−3 < x ≤ 2
1 < x ≤ 2
x ≤ − 3 or x ≥ 2
x ≤ 1 or x ≥ 2
OpenStudy (astrophysics):
Start off by subtracting 8 from both sides what do you get
OpenStudy (anonymous):
B
OpenStudy (astrophysics):
...
OpenStudy (anonymous):
4 ≤ − 2x < -2?
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OpenStudy (astrophysics):
Close it should be -4 right?
OpenStudy (astrophysics):
\[-4 \le -2x < -2\] right
OpenStudy (anonymous):
oh i subtracted from the wrong side lol ya
OpenStudy (astrophysics):
Haha it's cool, ok now we can just divide -2 on both sides but note that when we divide by a negative all the signs flip
OpenStudy (anonymous):
\[-2 \ge x < -1\]
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OpenStudy (anonymous):
like this?
OpenStudy (astrophysics):
Close, when you divide a negative by a negative it's positive right?
OpenStudy (anonymous):
is its 1 not -1?
OpenStudy (astrophysics):
It should be \[2 \ge x > 1\]
OpenStudy (astrophysics):
Which should be written as \[1 < x \le 2\]
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OpenStudy (anonymous):
oh ok
OpenStudy (anonymous):
thats what i said
OpenStudy (astrophysics):
But you gave a direct answer without explaining the process which has no meaning here
OpenStudy (anonymous):
ty astro your the best
OpenStudy (astrophysics):
Anytime
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