The inequality is .
Apply addition property of inequality: Add 2 to each side.
\
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Add:
)
(Apply additive identity property:
)
Apply division property of inequality: Divie each side by 3.
\ (Cancel common terms)
(Divide:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
Graph the solution set on a number line.
Note: A dot means that this point is included in the solution set.
Check:
\To check, substitute , a number greater than
, in
.
(Substitute
)
(Multiply:
)
(Add:
)
The inequality is true.
The inequality solution is .