Question 150413
Just go by the definition:
|x| = x, x>=o
|x| = -x, x<o

Solution:
|x-7|>=2

a) if x>=o
   then,
   x-7>=2
   x>=9

b) if x<o
   then,
   x-7<=-2
   x<=5

]-&#8734;,5]U[9,+&#8734;[ VALUES OF X.