Let's pick a number greater than 1.
x>1
We are asked to investigate -7x.
Let's first multiply our inequality by 7.
x>1 ⟹ 7x>7
Let's remember the following property of inequalities.
a>b ⟹ - a<- b
If we use this property, we get the following.
7x>7 ⟹ -7x<-7
If -7 is multiplied by a number greater than 1, the result is less than -7.
The correct choice is J.
