How do you solve for the variable?

Question

a) | x - 8 | = 3

b) | x + 4 | < 2

thank you!!

Answer 1

Since there are absolute values, there will always be two answers. One is negative and one is positive, so view these as two equations:

A) - ( x - 8 ) = 3    and    (x - 8) = 3

B) - ( x + 4 ) &lt; 2   and    (x + 4) &lt; 2

and just solve them as you would any other algebra equation!