Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]\left|x\right|<18[/tex]
we know that
The absolute value function has two solutions
case positive
[tex]+(x)<18[/tex]
The solution is the interval------> (-∞,18)
All real numbers less than 18
In a number line is the shaded area to the left at point x=18 (open circle)
case negative
[tex]-(x)<18[/tex]
Multiply by -1 both sides
[tex](x)>-18[/tex]
The solution is the interval------> (-18,∞)
All real numbers greater than -18
In a number line is the shaded area to the right at point x=-18 (open circle)
therefore
The solution of the inequality
[tex]\left|x\right|<18[/tex]
All real numbers greater than -18 and less than 18
see the attached figure to better understand the problem
