Since 5 > 3, therefore −5 > −3.
We know: (5 > 3).
Take the opposites of both numbers: ( -5 ) and ( -3 ).
Rule: If ( a > b ), then ( -a < -b ).
Apply the rule with ( a=5 ) and ( b=3 ): ( -5 < -3 ).
Number line check: numbers to the left are smaller. ( -5 ) is left of ( -3 ), so ( -5 < -3 ).
Therefore, the statement “( -5 > -3 )” is false.