The word sum
represent the addition operation and its symbol is
.
The word The sum of
and 8
represent the expression
.
The word is less than or equal to
represent the symbol
.
The word The sum of
and 8 is less than or equal to
represent the inequality
.
The word is less than
represent the symbol
.
The word 6 is less than
represent the inequality
.
The word The sum of
and 8 is less than or equal to
or
6 is less than
represent the compound inequality
.
The compound inequality is .
Solve the inequality 1: .
Subtract 8 from each side.
\.
Divide each side by negative 2 and reverse the inequality symbol.
\.
Solve the inequality 2: .
Divide each side by negative 2 and reverse the inequality symbol.
\Cancel common terms.
\.
The compound inequality can be written as .
The compound inequality graph is
Observe the graph, the open circle means that is not a solutions of the inequality and the closed circle means that 6.5
is a solutions of the inequality..
The compound inequality graph is