Find the solutions sets for the following inequalities.
(a) |x − 2| < 4
(b)
Hello quah13579(a) means that the numerical value of is less than . So lies between and .
Take the LH inequality:
...and the RH inequality:
So, combining these two answers into one:
(b) Although you had a LaTeX error in your original posting, I assume it's
So
When we take square roots, be careful with the negative values. We need to use an absolute value sign |...|, like this:
or
Grandad
for the absolute value
in general
and
or
so
second one
we want the values of x which make the value of positive or zero so we need to study the sign of it
the root of it is -2 ,2 plot them in the real line like this
then take numbers from the three intervals (-infinity , -2 ) and from (-2,2) and from (2,infinity) then sub them in the formula if it was positive write positive sign if negative write negative on the real line like this
the solution is