Solve: | x + 4 | > 3 Give your answer as an interval.

Question

give your answer as an interval

 

Answer 1

 | x + 4 | > 3 

 

Breaking this into two inequalities we have:

x+4 > 3      and    x + 4 < -3

x > 3-4                x < -3-4

x > -1                  x < -7

 

Your interval is  (-∞, -7) U (-1, ∞)

Answer 2

Break this down into two inequalities: x+4 > 3   or   x+3 < -3.

 

Then x > -1  or  x < -6. 

 

When graphed on the number-line, you have two rays pointing in opposite directions: to the left of -6 (but excluding exactly -6 itself) and to the right of -1 (excluding -1 itself).