The inequality .
Write the mixed numbers into improper fraction.
\The improper fraction of
Apply multplication property of inequality: Multiply each side by 5.
\ (Cancel common terms)
(Apply distributive property:
)
(Multiply:
)
Apply subtraction property of inequality: Subtract 85 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by 5)
(Cancel common terms)
(Divide:
)
Graph the solution set on a number line.
Note: A dot means that this point is included in the solution set.
Check:
\To check, substitute a number less than or equal to – 0.2 in .
(Substitute n = – 0.2)
(Add:
)
(Divide:
)
The inequality is true.
The inequality solution is .