Mathematics
13 Online
OpenStudy (anonymous):
does anyone here knows how to Write each interval as an inequality?
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OpenStudy (anonymous):
i do
OpenStudy (slaaibak):
yep
OpenStudy (anonymous):
Okay cause my teacher doesn't explain anything-.-
OpenStudy (anonymous):
(-1, 10]
OpenStudy (slaaibak):
if it's (a,b) -> a<x<b
it its [a,b] -> a<=x<b
just apply that logic
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OpenStudy (slaaibak):
-1<x<=10
OpenStudy (anonymous):
do you need to graph it to
OpenStudy (anonymous):
yes i do!
OpenStudy (slaaibak):
sorry, I meant it its [a,b] -> a<=x<=b
OpenStudy (anonymous):
what if there is ( & ]
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OpenStudy (anonymous):
like; [25, 50)
OpenStudy (slaaibak):
(a,b] -> a<x<=b
[a,b) -> a<=x<b
OpenStudy (slaaibak):
[25, 50)
25 <=x<50
OpenStudy (anonymous):
if its a negative you need to change the sign
OpenStudy (anonymous):
does it say interval notation or set builder
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OpenStudy (anonymous):
okay thank you!
and what about like the 8 that is turned around. the infinity sign.
OpenStudy (anonymous):
\[[3, \infty)\]
OpenStudy (slaaibak):
same rules apply. however, it can NEVER be
\[(a,\infty]\]
meaning there can NEVER be a ] next to the infinity sign
OpenStudy (anonymous):
can you do this one, so i can have an example? :)
OpenStudy (slaaibak):
Actually, I was mistaken. Same rules do not apply, sorry.
that would mean:
\[x \ge 3\]
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OpenStudy (anonymous):
okay so it's x > 3 ?
OpenStudy (anonymous):
\[\ge\] *
OpenStudy (slaaibak):
Nope, greater than or equal to three. Yes
OpenStudy (anonymous):
thank you!! :))
OpenStudy (slaaibak):
and \[(\infty, b]\]
means
\[x \le b\]
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OpenStudy (anonymous):
okay! thanks!! <3
OpenStudy (slaaibak):
Pleasure :)