The inequlaity is .
Apply addition property of inequality: Add 6 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add: 9 + 6 = 15)
Apply multiplication property of inequality: Multiply each side by 4.
\\
(Cancel common terms) \ \
(Multiply:
)
According to division property of inequality: If a > b then
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive) \ \
Check:
\To substitute a number less than or equal to in
.
(Substitute d =
)
(Product of two same signs is positive)
(Multiply:
)
(Divide:
)
(Subtract:
)
The inequality is true
The inequality solution set is .