The inequality is .
Write the mixed numbers into improper fraction.
\The improper fraction of
The improper fraction ofApply addition property of inequality: Add to each side.
(Apply additive inverse property:
)
(Apply Aadditive identity property:
)
(Add:
)
(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 less than 4 in .
(Substitute
)
Find the least common denominator(L.C.D)
\Multiples of 1: 1,2,3,4,5,6,7....
\Multiples of 5: 5,10,15,20....
\The least common multiple of 1 and 5 is 5.
\Rewrite each fraction with a common denominator of 5.
\ (Subtract:
)
The inequality is true.
The inequality solution set is .