The inequality is .
Apply subtraction property of inequality: If a < b then
(Subtract c from each side)
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Subtract 5 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(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 greater than in
(Substitute
)
(Multiply:
)
(Add:
)
(Subtract:
)
The inequality is true.
The inequality solution set is .