The inequality is .
(Distributive property: a(b + c) = ab + ac)
(Multiply:
)
Apply subtraction property of inequality: Subtract 2x from each side.
\ (Commutative property: a + b = b + a)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
Apply subtraction property of equality: if , then
.
(Subtract 9 from each side)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract :
)
(Divide each side by 4)
(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 greater than 3.7 in .
(Substitute:
)
(Multiply:
)
(Distributive property: a(b + c) = ab + ac)
(Multiply:
)
(Multiply:
)
(Add:
)
(Subtract:
)
The inequality is true.
The inequality solution set is .