When an expression is multiplied or divided by a negative number its preference changes. For example, we have an inequality 8> 4. It means eight is greater than four. Now if we divide or multiply it by -1 it will become -8>-4. However this is incorrect as -4 is greater than -8. Therefore, we need to flip the inequality sign to make the expression mathematically true. So the correct expression is -8<-4, which is mathematically true.
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