

The compond inequality is
.
Split the compound inequality into two separate inequlities.
\The ineqality 1:
and The ineqality 2:
.
Solve the ineqality 1:
.
Apply addition property of inequality: Add 5 to each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of inequality: Divide each side by 3.
\
(Cancel common terms)
(Divide:
)
Solve the ineqality 2:
.
Apply addition property of inequality: Add 4 to each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Multiply each side by negative one and flip the symbol.
\
(Product of two signs is positive) \ \
Write the compond inequality by using two inequalities,
and
.

Split the compound inequality into two separate inequlities.
and
.
First draw First, graph the inequality
.
Since the inequality symbol is
, draw a dot at 4 with an arrow to the right.
Next, graph the inequality
.
Since the ineqality symbol is
, draw a circle at
7 with an arrow to the left on the same number line.
Finally find the unoverlapping region.
\
The uncompound inequality solution set is
.