The inequality is .
(Distributive property: a(b + c) = ab + ac)
(Cancel common terms)
(Multiply:
)
Apply subtraction property of inequality: If then
.
(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:
)
Apply multiplication property of inequality: If then
.
(Multiply each side by
)
(Cancel common terms)
Graph the solution set on a number line
Note: A dot means that this point is included in the solution set.
The solution set is .