Answer:
Part 1) The solution of the absolute value is (-∞,-6)∪ (2,∞)
Number line with open circles on negative 6 and 2, shading going in the opposite directions
Part 2) The graph in the attached figure
Step-by-step explanation:
we have
we know that
The absolute value has two solutions
step 1
<u><em>Find the positive case</em></u>
The solution is the interval ----> (2,∞)
All real numbers greater than 2
step 2
<u><em>Find the negative case</em></u>
Multiply by -1 both sides
The solution is the interval ----> (-∞,-6)
All real numbers less than -6
therefore
The solution of the absolute value is
(-∞,-6)∪ (2,∞)
Number line with open circles on negative 6 and 2, shading going in the opposite directions
step 3
using a graphing tool
see the attached figure