

The compound inequality is
.
The first inequality is
.
Apply subtraction property of inequality: Subtract 10m from each side.
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Apply commutative property of addition: a + b = b + a.
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(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of inequality: Divide each side by 7.
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(Cancel common terms)

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