The inequality is .
(Distribute 0.25)
(Multiply:
)
Apply subtraction property of inequality: Subtract 13 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide:
)
Apply subtraction property of inequality: Subtract 0.5x from each side.
\Apply commutative property of addition: a + b = b + a
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of inequality: If a > b then .
(Divide each side by 0.25)
(Cancel common terms)
(Divide:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
The inequality solution is .