The inequality is .
Apply Addition property of inequality: Add to each side.
(Apply additive inverse property:
)
(Apply additive identity property:
)
Combine like terms using distributive property: .
(L.C.M of
)
(L.C.M is
)
(Product of two different signs is negative)
Apply addition property of inequality: Add 14 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
(Multiply each side by 5)
(Cancel common terms)
(Multiply:
)
(Divide each side by negative 6 and flip the symbol)
(Cancel common terms)
(Divide:
)
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: f = -18.32)
(Multiply: )
(Divide:
)
(Add:
)
This value is true
The inequality solution is .