
The inequality is
.
Apply subtraction property of inequality: Subtract 4 from each side.
\
Apply commutative property of addition: a + b = b + a.
\
(Apply additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
(Multiply each side by negative one and flip the symbol)
(Product of two same signs is positive)
Check:
\To check, substitute three different values for m into the original inequality
: 1, a number less than 1, and a greater than 1.
Let three values are
.
If
then
(This is false)
If
then
(This is false)
If
then
(This is true).
Graph the Solution set on a number line.
Note: A dot means that this point is included in the solution set.
The inequality solution set is
.