The inequality is .
Apply addition property of inequality: Add 83 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply addition property of inequality: Add 3x to each side.
\Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add: 2x + 3x = 5x)
Apply division property of inequality: Divide each side by 5.
\ (Cancel common terms)
(Divide:
) \ \
Graph the solution set on a number line.
Note: A circle means that this point is not include in the solution set.
The inequality solution set is .