The inequality .
Apply Addition property of inequality: Add to q each side.
\ (Additive inverse property:
)
(Additive identity property:
)
(Distributive property:
(L.C.M of 2,1=2)
(L.C.M is
)
Apply Substraction property of inequality: subtract from 4 each side.
\
(Additive inverse property:
)
(Additive identity property:
)
(subtract:-
)
(Multiply both side by 2)
(Multiply:
)
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 58 in .
(substitute:q=58)
(Divide:
)
(subtract:
)
This value is true
\The inequality solution is .