Mathematics
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OpenStudy (anonymous):
Which of the following is the solution for the inequality, -5 < x - 4 < 0?
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OpenStudy (anonymous):
so this is what i did so far
OpenStudy (anonymous):
not sure if its right though...
OpenStudy (anonymous):
-5 < x -4 < 0
-5 + 4 < x -4 < 0 + 4
1 < x -4 < -4
OpenStudy (anonymous):
these are the answers
OpenStudy (anonymous):
and d is: no solution
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jimthompson5910 (jim_thompson5910):
-5 + 4 is not 1
jimthompson5910 (jim_thompson5910):
0 + 4 is not -4
OpenStudy (anonymous):
yea but i though i had to change the - and +
jimthompson5910 (jim_thompson5910):
what do you mean?
OpenStudy (anonymous):
never mind
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jimthompson5910 (jim_thompson5910):
anyways, -5 + 4 = -1
and 0+4 = 4
jimthompson5910 (jim_thompson5910):
so this is how your steps should look like
-5 < x -4 < 0
-5 + 4 < x -4+4 < 0 + 4
-1 < x < 4
OpenStudy (anonymous):
so in that case it would be
-1< x -4 < 4
jimthompson5910 (jim_thompson5910):
yeah but you don't have a -4 on the inside like that
jimthompson5910 (jim_thompson5910):
it's actually -1 < x < 4
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OpenStudy (anonymous):
yea i see now
jimthompson5910 (jim_thompson5910):
the whole idea is to isolate x
OpenStudy (anonymous):
yes, i forgot there for a second
jimthompson5910 (jim_thompson5910):
that's ok
OpenStudy (anonymous):
im doing this on a piece of paper and i think its a, graph 48
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OpenStudy (anonymous):
am i right?
jimthompson5910 (jim_thompson5910):
-1 < x < 4 doesn't graph to what you see in graph_48.gif
jimthompson5910 (jim_thompson5910):
if you meant graph_46.gif, then you got it
OpenStudy (anonymous):
YES!
jimthompson5910 (jim_thompson5910):
ok thought so
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OpenStudy (anonymous):
thank you so much again!
jimthompson5910 (jim_thompson5910):
sure thing