
The inequality is
.
Solve each part at the same time by add 7 to each side.
\
(Apply additive inverse property:
)
(Add:
)
Divide each part at the same time by 2.
\
(Cancel common terms)
(Divide:
)
Split the compound inequality into two separate inequlities.
and
.
First draw First, graph the inequality
.
Since the inequality symbol is
, draw a dot at 2 with an arrow to the right.
Next, graph the inequality
.
Since the ineqality symbol is
, draw a dot at 10 with an arrow to the left on the same number line.
Finally find the overlapping region.
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The compound inequality solution set is
.