The compound inequality is .
The first inequality is .
Apply subtraction property of inequality: Subtract 10m 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: Divide each side by 7.
\ (Cancel common terms)
The second inequality is .
Apply division property of inequality: Divide each side by 6.
\ (Cancel common terms)
(Divide:
)
Multiply each side by negative one and flip the symbol.
\ (Product of two same signs is positive)
Graph the solution set.
\The compound inequality solution set is .