divide by -7 to get x < -2
The rule that you change the direction of the inequality when dividing by a negative is just a shorthand way of moving things from one side to the other by addition.
-7x > 14
0 > 14 + 7x
-14 > 7x
-2 > x which is the same as x < -2
is -7x > 14 then
x<2, or x>2, or x=-2, or x>-2, or x<-2
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