The compond inequality is .
Split the compound inequality into two separate inequlities.
\The ineqality 1: and The ineqality 2:
.
Solve the ineqality 1: .
Apply division property of inequality: Divide each side by 2.
\ (Cancel common terms)
(Divide:
)
Solve the ineqality 2: .
Apply addition property of inequality: Add 9 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of inequality: Divide each side by 5.
\ (Cancel common terms)
(Divide:
)
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 circle at 3 with an arrow to the left.
\Next, graph the inequality .
Since the ineqality symbol is , draw a dot at 5 with an arrow to the right on the same number line.
Finally find the unoverlapping region.
\
The compound inequality solution set is .