The inequality .
Apply Addition property of inequality: Add to each side.
(Apply additive inverse property:
)
(Apply additive identity property:
)
Combine like terms using distributive property: .
(Distributive property:
(L.C.M of
)
(L.C.M is
)
(Multiplicative identity property:
)
Apply substraction property of inequality: Subtract 8 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
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 -10 in .
(Substitute: d = -9)
(Multiply:
)
(Divide:
)
(Subtract:
)
This value is true
The inequality solution is .