The inequality is .
(Apply distributive property:
)
(Multiply:
)
(Apply commutative property of addition:
)
(Subtract:
)
Apply subtraction property of inequality: Subtract 2 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of inequality: Divide each side by 2.
\ (Cancel common terms)
(Divide:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
Check:
\To check, substitute a number or greater than or equal to
, in
.
(Substitute
)
(Multiply:
)
(Product of two same signs is positive)
(Add:
)
(Multiply:
)
(Add:
)
The inequality is true.
The inequality solution set is .