The compound inequality is .
Express using "and"
.
The first inequality is .
Apply subtraction property of inequality: Subtract 4 from each side.
\ (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 subtraction property of inequality: Subtract 4 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of inequality: Divide each side by 7.
\ (Cancel common terms)
(Divide:
)
Graph the solution set.
\The compound inequality solution set is .