# 5.(iv)    Is the following statement true or false? Give a valid reason for saying so.    (iv) s: If $x$ and $y$ are integers such that $x > y$, then $-x < -y$.

H Harsh Kankaria

The statement is True.

Give, x>y

Multiplying  -1 both sides

(-1)x<(-1)y  $\implies$ -x < -y

(When -1 is multiplied to both L.H.S & R.H.S, sign of inequality changes)

By the rule of inequality.

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