The inequality is
Apply multiplication property of inequality: Multiply each side by 2.
\ (Commutative property of multiplication:
)
(Multiplicative inverse property:
)
(Multiply:
)
Apply subtration property of inequality: Subtract 6 from each side.
\ (Commutative property:
)
(Additive inverse property:
)
(Additive identity property:
)
(subtract:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
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 less than -4 in
(Substitute
)
(Product of two same signs is positive)
(Add:
)
(Divide:
)
The inequality is true.
The inequality solution is .