

The compound inequality is
.
Express
using "and"
.
The first inequality is
.
Apply addition property of inequality: Add 1 to each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add: 3 + 1 = 4)
Apply addition property of inequality: Add 2a to each side.
\
Apply commutative property of addition: a + b = b + a.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add: 6a + 2a = 8a)
Apply division property of inequality: .Divide each side by 8.
\
(Cancel common terms)
(Divide:
)

The second inequality is
.
Apply addition property of inequality: Add 1 to each side.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply subtraction property of inequality: Subtract 3a from each side.
\
Apply commutative property of addition: a + b = b + a.
\
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of inequality: Divide each side by 3.
\
(Cancel common terms)
(Divide:
)
Graph the solution set.
\
The compound inequality solution set is
.