The inequality is .
Apply subtraction property of inequality: Subtract 7b from each side.
\ (Commutative property: a + b = b + a)
(Additive inverse property:
) \ \
(Subtract:
)
Apply Addition property of inequality: Add 13 to each side.
\ (Additive inverse property:
) \ \
(Add: 11 + 13 = 24) \ \
(Divide each side by 2) \ \
(Cancel common terms) \ \
(Divide:
)
Graph the solution set on a number line
Note: A circle means that this point is not included in the solution set.
Check:
\To check, substitute a number less than 12, in .
(Substitute b = 11)
(Multiply:
)
(Substract:
)
(Add:
)
The inequality is true.
The inequality solution set is .