The inequality .
Write the mixed numbers into improper fraction.
\The improper fraction of
Apply multplication property of inequality: Multiply each side by 4.
\ (Cancel common terms)
(Apply distributive property:
)
(Multiply:
)
(Subtract 12 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by 4)
(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 - 4.25 in .
(Substitute
)
(Add:
)
(Divide:
)
The inequality solution is .