10. solve the following inequality - 2/3 x > 8 a) x < - 4 b) x > - 4 c) x > -12 d) x < -12

Hey there, Byanatwin2!

To solve this inequality, we need to isolate x, like any other equation or inequality.
So, to isolate x we need to divide both sides by 

NOTE: We are dividing by a number less than 0, or a negative number so
the sign > will change to <

Now, to divide a fraction, we need to do the reciprocal and then multiply. The reciprocal of  is 
Then, we multiply 8 times  and we get a total of -12
So the answer should be x < -12

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In the picture I have included. You will find the work shown and the final answer as well.

x < -12