The inequality is .
Apply subtraction property of inequality: Subtract 7x from each side.
\ (Commutative property :
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
Apply addition property of inequality: Add 11 to each side.
\ (Add 11 from each side)
(Additive inverse property:
)
(Additive identity property:
)
(Add:
)
(Divide each side by 6)
(Cancel common terms)
(Divide:
)
Graph the solution set on a number line.
Note: A dot means that this point is included in the solution set.
Check:
\To Check, substitute a number less than or equal to 8 in
(Substitute
)
(Multiply:
)
(Add:
)
(Subtract:
)
The inequality is true.
The inequality solution set is .