The inequality is .
(Apply distributive property:
)
(Multiply:
)
(Apply commutative property of addition:
)
(Subtract:
)
Apply addition property of inequality: Add to each side.
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of inequality: If then
.
(Divide each side by 0.5)
(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 less than in
.
(Substitute
)
(Multiply:
)
(Subtract:
)
(Multiply:
)
(Add:
)
The inequality is true.
The inequality solution set is .