Why do we flip the inequality symbol when multiplying by a negative number or solving absolute value inequalities?

Question: Why do we flip the inequality symbol when multiplying and dividing by a negative number or solving absolute value inequalities?

Answer:

     The reason why we flip the inequality symbol when multiplying and dividing by a negative number is to keep a balance between both sides of the inequality symbol.  This action can be seen In 50>5 or 50 is greater than 5 where after (-1) is multiplied or divided to the problem it becomes -50<-5.  The reason the signs are switched is to make the problem true(accurate) instead of false(inaccurate).  In other words if a number was negative before it becomes positive and if a number was positive before it becomes negative, this occurs to both numbers on both sides of the inequality.When this happens the number that was less than before is now greater than and the number that was to the right(greater than) ends up to the left of ( or less than) the other number.  This is why we have to flip  the inequality sign whenever we multiply or divide by a negative number.

NOW TRY IT YOURSELF!!!   

For which problem do we have to switch the inequality sign?

A.)20x>2
B.)10x>8
C.)-5x>-15
D.)35x>7