Answered

  1. Solve and graph.

AWrite the inequality as two inequalities without absolute value.
BSolve the inequality and write the solution set.
CGraph the solution on a number line.

Verified Answer :

|x - 2| > 5

if x >= 2
x - 2 > 5
x > 7

if x < 2
-x + 2 > 5
x < -3

hence the solution is: x belongs to (-inf, -3)U(7, inf)

graphical representation of solution
---------------------------)                (--------------------
-inf                          -3                 7                   inf

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