Question

Which of the following choices is equivalent to -9x > -27?

X >3
X < 3
X > -3
X < -3

Answer 1

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

Answer 2

         $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

            Which of the following is equivalent to -9x>-27?

                                                      $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

$\dagger$ First of all, we need to divide by -9 on both sides as follows:-

                                  $\Large\bold{x < 3}$

$\dagger$ You may have noticed that the inequality sign changed from "greater than" to "less than".

     $\bigstar$ This happened because we divided by a negative number on both sides.

Good luck with your studies.

$\rule{300}{1}$