The inequality is .
(Distribute 7)
(Multiply:
)
Apply addition property of inequality: Add 28 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add: 42 + 28 = 70)
Apply subtraction property of inequality: If a < b then .
(Subtract 7t from each side)
(Apply commutative property of addition: a + b = b + a)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
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 .