[tex]\bf 7\times \cfrac{n}{4}>7\implies \cfrac{7n}{4}>7\implies \cfrac{n}{4}>\cfrac{7}{7}\implies \cfrac{n}{4}>1\implies n>4[/tex]
whatever value "n" is, it must be greater than 4, cannot be 4 or less.
notice that simplifying inequalities is hardly any different than doing equalities, there's just one difference when using a negative factor.
[tex]\bf 7\times\cfrac{a}{b}=7\implies \cfrac{7a}{b}=7\implies \cfrac{a}{b}=\cfrac{7}{7}\implies \cfrac{a}{b}=1\implies a=b[/tex]
whatever value "a" might be, it must be equal to "b".
