The inequality is .
Apply subtraction property of inequality: Subtract 6 from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply multiplication property of inequality: Multiply each side by 2.
\\
(Cancel common terms)
(Multiply:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
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 40 in .
(Substitute x = 42)
(Divide:
)
(Add:
)
The inequality is true.
The inequality solution set is .