The inequality is .
Apply addition property of inequality: Add 3 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Apply commutative property of addition: a + b = b + a) \ \
(Add: 6 + 3 = 9)
Apply subtraction property of inequality: Subtract y from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Graph the solution set on a number line.
Note: A dot means that this point is include in the solution set.
Check:
\To check, substitute a number less than or equal to 9 in .
(Substitute y = 9)
(Multiply:
)
(Add: 6 + 9 = 15)
(Subtract:
) \ \
The inequality is true.
The inequality solution set is .