The inequality is .
Apply subtraction property of inequality: Subtract 3b to each side.
\ (Commutative property:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
(Add 5 to each side)
(Additive inverse property:
)
(Additive identity property:
)
(Add:
)
(Divide each side by 5)
(Cancel common terms)
(Divide:
)
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 a number 4 or greater than or equal to 4 in .
(Substitute: b = 4)
(Multiply:
)
(Subtract :
)
(Add:
)
The inequality is true.
\The inequality solution set is .