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Mama L [17]
3 years ago
11

Solve the following inequality.

Mathematics
1 answer:
Luden [163]3 years ago
7 0
First simplify.
-\frac{2}{3}x \ \textgreater \  \mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  -\frac{2x}{3}

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} \ \textgreater \ \ \textgreater \  \frac{2x}{3}\ \textless \ -8

\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \  \frac{3\cdot \:2x}{3}\ \textless \ 3\left(-8\right) \ \textgreater \  Simplify \ \textgreater \  2x\ \textless \ -24

\mathrm{Divide\:both\:sides\:by\:}2 \ \textgreater \  \frac{2x}{2}\ \textless \ \frac{-24}{2} \ \textgreater \  Simplify \ \textgreater \  x\ \textless \ -12

Therefore\; x\ \textless \ -12 \;is\;our\;answer!

Hope this helps!
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