The inequality is .
(Distributive property:
)
(Multiply:
)
(Add:
)
Apply subtraction property of inequality: Subtract t from each side.
\ (Commutative property: a+b=b+a)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
(Subtract 8 from each side)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
Graph the solution set on a number line
\\
Check:
\To check, substitute a number or
greater than or equal to , in
.
(Product of two different signs is negative)
(Subtract:
)
(Add:
)
(Multiply:
)
(Add:
)
The inequality is true.
The inequality solution set is .