The inequality is .
Apply addition property of inequality: Add 9 to each side.
\ (Additive inverse property:
)
(Additive identity property:
)
(Add:
)
(Multiply each side by 4)
(Cancel common terms)
(Multiply:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
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 96 or less than or equal to
96 in
.
(Substitute:
)
(Product of two same signs is positive)
(Divide:
)
(Subtract :
)
The inequality is true.
The inequality solution set is .