The word
product
represent the multiplication operation and its symbol is
.
The word
difference
represent the subtraction operation and its symbol is
.
The word
is less than or equal to
represent the symbol
.
The word
sum
represent the addition operation and its symbol is
.
The word
The product of 6 and the difference of 6x and 3
represent the expression
.
The word
The product of
and the sum of 4 and 8x
represent the expression
.
The word
The product of 6 and the difference of 6x and 3 is less than or equal to the product of
and the sum of 4 and 8x
represent the inequality
.
The inequality is
and solve for x.
Apply distributive property:
.


Apply addition property of inequality: If
then
.
Add 16x to each side.
\

.
Add 18 to each side.
\


Apply division property of inequality: if
then
.
Divide each side by 52.
\
Cancel common terms.
\
.
The solution of the inequality is
and its graph is

The closed circle means that 0.19 is a solution of the inequality.
The solution of the inequality
is
and its graph is
