The inequality is .
Apply subtraction property of inequality: Subtract 4 from each side.
\ (Commutative property: a + b = b + a)
(Subtract:
)
(Additive inverse property:
)
(Additive identity property:
)
(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
\Note: A dot means that this point is included in the solution set.
Check:
\To check, substitute 7 a number less than 7 in .
(Substitute: r = 7)
(Subtract:
)
The inequality is true.
The inequality solution is .