The inequality is .
(Distributive property:
)
(Multiply :
)
(Divide:
)
Apply subtraction property of inequality:Subtract 0.25x from each side.
\ (Commutative property:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract :
)
(Add 8 to each side)
(Additive inverse property:
)
(Additive identity property:
)
(Add:
)
(Divide each side by 0.25)
(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 less than 84 in (Substitute
)
(Multiply:
)
(Distributive property:
)
(Multiply:
)
(Divide:
)
(Subtract:
)
(Add:
)
The inequality is true.
The inequality solution set is .