The word
product
represent the multiplication operation and its symbol is
.
The word
greater than
represent the symbol is
.
The word
the product of 8 and x is greater than 50
represent the inequality is
.
The inequality is
and solve for x.
Apply division property of inequality: if
then
.
Divide each side by
.

Cancel common terms.
\
The solution of the inequality is
and its graph is

The open circle means that 6.25 is not a solution of the inequality.
The solution of the inequality
is
and its graph is
