The inequality is .
Distribute terms using distributive property: .
(Multiply:
and
) \ \
Apply commutative property of addition: .
(Add:
)
Apply addition property of inequality: Add 14z to each side.
\ (Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
Apply subtraction property of inequality: Subtract 2 from each side.
\Apply commutative property of addition: .
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
Apply division property of inequality: Divide each side by 11.
\ (Cancel common terms)
(Divide:
)
The solution set is
Graph the solution set on a number line.
Note: A dot means that this point is included in the solution set.
The solution set is
The graph
\