The inequality is .
(Apply distributive property: a (b
c) = ab
ac)
(Multiply:
)
(Multiply:
)
Apply commutative property of addition: a + b = b + a.
\ (Subtract:
)
Apply addition property of inequality: Add 16 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply subtraction property of inequality: Subtract 2x from each side.
\Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Check:
\To check, substitute three different values for x into the original inequality: 8, a number less than 8, and greater than 8.
\Let three values are .
If then
(This is false)
If then
(This is true)
If then
(This is true).
The inequality solution set is .