The inequality is .
Apply subtraction property of inequality: Subtract 7b from each side.
\ (Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply addition property of inequality: Add 13 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of inequality: If then
.
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
Check:
\To check, substitute a number less than 12, in .
(Substitute
)
(Multiply:
)
(Substract:
)
(Add:
)
The inequality is true.
The inequality solution set is .