

The compound inequality is
.
The first inequality is
.
Apply addition property of inequality: Add 1 to each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add: 7 + 1 = 8)
The second inequality is
.
Apply subtraction property of inequality: Subtract 3 from each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Graph the solution set.
\
The compound inequality solution set is
.