The inequality is .
(Distributive property:
)
(Multiply:
)
(Distributive property:
)
(Multiply:
)
Apply subtraction property of inequality: Subtract 2x from each side.
\ (Commutative property:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
According to subtraction property of equality: if , then
.
(Subtract 9 from each side)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract :
)
(Divide each side by 4)
(Canel common terms) \ \
(Divide:
)
Graph the solution set on a number line.
Check:
\To Check, substitute a number greater than in
(Substitute
)
(Multiply:
)
\
(Distributive property:
)
(Multiply:
)
(Distributive property:
)
(Multiply:
) \ \
(Add:
)
(Subtract:
)
The inequality is true.
The inequality solution set is .