The inequality is .
Apply subtraction property of inequality: Subtract 1 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
Apply division property of inequality: Divide each side by 4.
\ (Cancel common terms)
(Divide:
) \ \
Graph the solution set on a number line.
Note: A circle means that this point is not include in the solution set.
Check:
\To check, substitute a number greater than 0 in .
(Substitute x = 1)
(Multiply:
)
(Add: 4 + 1 = 5)
The inequality is true.
The inequality solution set is .