Question

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

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

Answer 1

`\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}`

Answer 2

-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