The word
sum
represent the addition operation and its symbol is
.
The word
is greater than
represent the symbol
.
The word
difference
represent the subtraction operation and its symbol is
.
The word
The sum of 5x and 2x
represent the expression
.
The word
The difference of 9x and 4
represent the expression
.
The word
The sum of 5x and 2x is greater than the difference of 9x and 4
represent the inequality
.
The inequality is
and solve for x.
Combine like terms.
\
Apply subtraction property of inequality: If
then
.
Subtract 9x from each side.
\

.
Apply division property of inequality: if
then
.
Divide each side by negative 2 and reverse the inequality symbol.
\
Cancel common terms.
\
.
The solution of the inequality is
and its graph is

The open circle means that 2 is not a solution of the inequality.
The solution of the inequality
is
and its graph is
