What is the compound inequality
8 < or = to 2x-4 < 2
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OpenStudy (danjs):
hmm
OpenStudy (anonymous):
Hmm what?
OpenStudy (danjs):
\[8 \le (2x-4) \lt 2\]
that right?
OpenStudy (anonymous):
Yes
OpenStudy (danjs):
that is a compound inequality
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OpenStudy (danjs):
a<b<c
OpenStudy (anonymous):
Except there is no parentheses
OpenStudy (anonymous):
Ya but i have to find the solution to it
OpenStudy (danjs):
so you have
8 is less than or equal to 2x-4
AND
2x-4 is less than 2
OpenStudy (danjs):
oh, do you want to just isolate x to get the values for x, solve it
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OpenStudy (anonymous):
My options are:
1. -6 < or = to X < -4
2. -2 < or = to X < -1
3. 0 < or = to X < 5
4. -2 < or = to X < 3
OpenStudy (danjs):
\[8 \le (2x-4) \lt 2\]
\[8 +4\le (2x) \lt 2 + 4\]
\[\frac{ 12 }{ 2 } \le x \lt \frac{ 6 }{ 2 }\]
this says
\[6 \le x \lt 3\]
which is not true, x can not be bigger than 6 AND less than 3 at the same time
OpenStudy (danjs):
It ca be either OR
OpenStudy (danjs):
you mistyped something in the prob i think
OpenStudy (anonymous):
I'm confused
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OpenStudy (danjs):
the way you put the problem, you cant have solutions for that, you can break it up into
\[x \ge 6~~~~OR~~~~x \lt 3\]
OpenStudy (danjs):
a value can't be both those at the same time,
OpenStudy (anonymous):
I just put it the way that the school has it
OpenStudy (danjs):
you missing a negative sign, or something,
OpenStudy (danjs):
put the question down again using the draw tool
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OpenStudy (danjs):
the inequality part
OpenStudy (anonymous):
|dw:1443228817681:dw|
OpenStudy (anonymous):
Is that what you mean @DanJS ?
OpenStudy (anonymous):
i say its 1
OpenStudy (anonymous):
can you explain why? I am so confused
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OpenStudy (anonymous):
was it really \[-8 \le x-4\lt 2\]
OpenStudy (anonymous):
or \[-8 \le2 x-4\lt 2\]
OpenStudy (anonymous):
the second one
OpenStudy (anonymous):
add 4 all the way across\[-4\leq 2x<6\] then divide all by 2
OpenStudy (anonymous):
so it is \[-2lex <3\]
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