
The inequality is
.
Solve each part at the same time by subtracting 5 from each side.
\
(Apply additive inverse property:
)
(Subtract:
)
Multiply each part at the same time by negative one and flip the symbol.
(Product of two same signs is positive)
The solution set is
.
Split the compound inequality into two separate inequlities.
and
.
First draw First, graph the inequality
.
Since the inequality symbol is
, draw a circle at
4 with an arrow to the left.
Next, graph the inequality
.
Since the ineqality symbol is
, draw a circle at
9 with an arrow to the right on the same number line.
Finally find the unoverlapping region.
\
The solution set is
.