.
Solve |2-3x| <= 5.
~~~~~~~~~~~~~~~~~~~~
|2-3x| <= 5.
Divide both sides by 3. You will get an equivalent inequality
<=
.
The solution set to this inequality is the set of those x that are remoted not farther than
units from the point
on the number line, i.e
the set of x,
<= x <=
, or, which is the same,
-1 <= x <=
.
Answer. The solution set is the segment [-1,
] of the number line.