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 .