The inequality is .
(Distributive property:
)
(Multiply:
)
(Commutative property:
)
(Subtract:
)
Apply addition property of inequality: Add 16 to each side.
\
(Commutative property:
)
(Add:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract 2x from each side )
(Commutative property:
)
(Subtract:
)
(Additive inverse property:
)
(Additive identity property:
)
Graph the Solution set on a number line.
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Note: A dot means that this point is included in the solution set.
Check:
\To check,substitute 8 a number less than or equal to 8 in
(Substitute
)
(Subtract:
)
(Multiply:
)
(Add:
)
The inequality is true.
The solution set is .