The inequality is .
(Distribute 6)
(Multiply:
)
Apply subtraction property of inequality: Subtract 30 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply addition property of inequality: If a < b then a + c < b + c.
\ (Add 19z to each side)
Apply commutative property of addition: .
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Apply division property of inequality: If a < b then .
(Divide each side by 7)
(Cancel common terms)
(Divide:
)
Graph the solution on a number line.
Note: A circle means that this point is not included in the solution set.
The inequality solution is .