Which conjunction or disjunction is equivalent to |y 5| < 14? Which conjunction or disjunction is equivalent to |y 5| < 14? @Mathematics
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OpenStudy (anonymous):
do you mean y^5, or 5y?
OpenStudy (anonymous):
-
OpenStudy (anonymous):
y - 5
jimthompson5910 (jim_thompson5910):
Hint: \[\Large |x| < k\] is equivalent to \[\Large x < k \ \ \text{and} \ \ x > -k\] where k is some positive number
You can combine the inequalities to get
\[\Large -k < x < k\]
OpenStudy (anonymous):
what the monkey is a "conjunction"?
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OpenStudy (anonymous):
y 5 < 14 or y 5 < 14
y 5 < 14 or y 5 > 14
y 5 > 14 and y 5 < 14
y 5 < 14 and y 5 > 14
OpenStudy (anonymous):
those are the choices
jimthompson5910 (jim_thompson5910):
for some reason, the negatives aren't showing up
OpenStudy (anonymous):
\[|y-5|<14\]
\[-14<y-5<14\]
\[-9<y<19\]
OpenStudy (anonymous):
the negitives art showin up! i know! its bugging me
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OpenStudy (anonymous):
bye, you guys can solve it
OpenStudy (anonymous):
so first thing to know is that
\[y-5<14\text{ and } y-5>-14\]
jimthompson5910 (jim_thompson5910):
try drawing a pic if the negatives aren't showing up