The inequality is .
(Apply distributive property:
)
(Multiply:
)
Apply addition property of inequality: Add 3.5 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add: 21.7 + 3.5 = 25.2)
Apply division property of inequality: Divide each side by 1.4.
\ (Cancel common terms)
(Divide:
)
Check:
\To check, substitute three different values for m into the original inequality: 18, a number less than 18, and greater than 18.
\Let three values are .
If then
(This is false)
If then
(This is true)
If then
(This is true).
The inequality solution set is .