SOLUTION: Sec 8.1 #18 Title Solutions of compound inequalities, Determine whether -4 satisfies each compound inequality -3x > 0 and 3x-4 < 11

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Question 134327: Sec 8.1 #18
Title Solutions of compound inequalities,
Determine whether -4 satisfies each compound inequality
-3x > 0 and 3x-4 < 11

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the first inequality


Plug in


Multiply


Since this inequality is true, works for the first inequality.


---------------


Start with the first inequality


Plug in


Multiply


Subtract

Since this inequality is true, works for the second inequality.



----------------------

Conclusion:

Since satisfies both inequalities, this means that is in the solution interval.

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