The inequality is .
(Distribute
)
(Multiply:
)
(Apply commutative property of addition: a + b = b + a)
(Add: 5 + 3 = 8)
Apply subtraction property of inequality: Subtract 8 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply multiplication property of inequality: If a < b then .
(Multiply each side by 2)
(Cancel common terms)
(Multiply:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
The inequality solution is .