The inequality is .
(Distributive proparty: a(b + c) = ab + ac)
(Cancel common terms) \ \
(Multiply:
)
Apply subtraction property of inequality: subtract 1 from each side.
\ (Subtract:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract
from each side)
(Commutative property: a + b = b + a)
(Subtract:
)
(Additive inverse property:
)
(Additive identity property:
)
(Multiply both sides by
)
(Cancel commen terms)
(Divide each side by 2)
(Cancel commen terms)
(Divide:
)
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 grater than or equal in
.
(Cancel commen terms)
(Multiply:
)
(Divide:
)
(Add: 6 + 3 = 9 and 1 + 2 = 3)
(Divide:
)
The solution set is .