The inequality is .
(Distributive property:
)
(Multiply:
)
(Commutative property: a + b = b + a)
(Subtract:
)
Apply addition property of inequality: Add 0.6 to each side.
\ (Additive inverse property:
)
(Additive identity property:
)
(Add:
)
(Divide each side by 0.5)
(Cancel common terms)
(Divide:
)
(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
\\
Check:
\To check, substitute a number less than 10 in
.
(Substitute d =
11)
(Multiply:
)
(Subtract:
)
(Multiply:
)
(Add:
)
The inequality is true.
The inequality solution set is .