Solve the inequality for y.
≤−67y10
Simplify your answer as much as possible.
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OpenStudy (anonymous):
@armmonipowtoon helps please
OpenStudy (anonymous):
@TheSmartOne how do I do this question as well
TheSmartOne (thesmartone):
Could you write your question using the equation editor or the draw tool? .-.
TheSmartOne (thesmartone):
inequality**** not equation .-.
OpenStudy (anonymous):
|dw:1432135567682:dw|
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OpenStudy (anonymous):
sorry if it's sloppy kind of hard to draw on this
OpenStudy (anonymous):
@TheSmartOne
TheSmartOne (thesmartone):
To solve it, first multiply by the reciprocal.
What is the reciprocal of \(\sf\Large\frac{-6}{7}\)
Hint: Reciprocal of \(\sf\Large\frac{a}{b}\) is \(\sf\Large\frac{b}{a}\)
TheSmartOne (thesmartone):
and note that since you will be multiplying by a negative number on both sides, the sign will flip.
So the \(\sf \le\) will become a \(\sf \ge\)
OpenStudy (anonymous):
oh it would be 7 over -6
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TheSmartOne (thesmartone):
correct, and so multiply both sides by that and don't forget the switch the sign :)
OpenStudy (anonymous):
so y flip the sign 70 over -6?
TheSmartOne (thesmartone):
correct
\(\sf\large y \ge -\frac{70}{6}\)
One last step, just simplify -70/6 so it's in simplest form