The inequality is .
(Apply distributive property:
)
(Multiply:
)
Apply substration property of inequality: Subtract 6 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
) \ \
(Subtract:
)
Apply division property of equality: Divide each side by 2.
\ (Cancel common terms)
(Divide:
)
Graph the solution set on a number line.
Note: A circle means that this point is not included in the solution set.
Check:
\To check, substitute a number less than in
(Substitute
)
(Multiply:
)
(Add:
)
The inequality is true.
The inequality solution is .