Mathematics
8 Online
OpenStudy (rock_mit182):
solve the compound inequality
3x + 6 < -3 or 5 – x ≤ 1
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OpenStudy (rock_mit182):
\[3x +6-6 = 6+3 \]
OpenStudy (anonymous):
next comes 3x + 0 = 6 + 3
OpenStudy (rock_mit182):
\[-5+5-x \le 1+5\]
OpenStudy (anonymous):
then comes 3x = 9
OpenStudy (rock_mit182):
correcting the first one,\[3x< -9\]
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OpenStudy (rock_mit182):
x< -3 or -x <=6
OpenStudy (rock_mit182):
is that right ?
OpenStudy (rock_mit182):
@zepdrix
OpenStudy (rock_mit182):
@wio
OpenStudy (anonymous):
second one is wrong
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OpenStudy (rock_mit182):
Describe in words what the solution sets mean, and then display a simple line graph for each solution set
OpenStudy (anonymous):
Solution sets? It's the set of all numbers which are compatible solutions.
OpenStudy (rock_mit182):
\[-x \le 6 \]
OpenStudy (anonymous):
That is incorrect, try again.
OpenStudy (rock_mit182):
\[-x*(-1)\le (-1)*6\]
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OpenStudy (rock_mit182):
\[x \ge -6\]
OpenStudy (rock_mit182):
what is the property of the last step ?
OpenStudy (anonymous):
No, first of all, where is the 6 from?
OpenStudy (rock_mit182):
\[5-x<1\]
\[-5+5-x \le 1-5\]
OpenStudy (rock_mit182):
\[-x \le 4\]
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OpenStudy (rock_mit182):
\[(-1)*-x \le 4*(-1)\]
OpenStudy (rock_mit182):
x>=-4
now what do i have to do ?
OpenStudy (anonymous):
that is correct
OpenStudy (rock_mit182):
is this a union compound inequality ?
OpenStudy (rock_mit182):
help me out with the writting part please !
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OpenStudy (anonymous):
Or makes it sound like a union.
OpenStudy (anonymous):
If it is a union, then all numbers are solutions, it if is an intersection, then it ie between -4 and -3
OpenStudy (rock_mit182):
oh thanks a lot,
buddy
OpenStudy (rock_mit182):
\[x<-3\] or \[x \ge -4\]
OpenStudy (rock_mit182):
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