Which of the following choices is equivalent to -9x > -27?
2 answers:
![\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}](https://tex.z-dn.net/?f=%5Crule%7B50%7D%7B1%7D%5Clarge%5Cblue%5Ctextsf%7B%5Ctextbf%7B%5Cunderline%7BQuestion%3A-%7D%7D%7D%5Crule%7B50%7D%7B1%7D)
<em>Which of the following is equivalent to -9x>-27?</em>
<em />
<em> </em>![\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}](https://tex.z-dn.net/?f=%5Crule%7B50%7D%7B1%7D%5Clarge%5Cblue%5Ctextsf%7B%5Ctextbf%7B%5Cunderline%7BAnswer%20and%20how%20to%20solve%3A-%7D%7D%7D%5Crule%7B50%7D%7B1%7D)
First of all, we need to divide by -9 on both sides as follows:-
![\Large\bold{x < 3}](https://tex.z-dn.net/?f=%5CLarge%5Cbold%7Bx%20%3C%203%7D)
You may have noticed that the inequality sign changed from "greater than" to "less than".
This happened because we divided by a negative number on both sides.
<h3>Good luck with your studies.</h3>
![\rule{300}{1}](https://tex.z-dn.net/?f=%5Crule%7B300%7D%7B1%7D)
Answer:
-9x>-27
x<-27/-9
x<3
note: the sign of the inequality will change if the equation is divided/multiplied by a negative number
example : -x<-3 (×-1)
x>3
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Hello Hope this can help you.
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Good luck mate :P