Question

Solve the inequality. Graph the solutions.
StartAbsoluteValue x plus 11 EndAbsoluteValuegreater than or equals13
Question content area bottom
Part 1
Select the correct choice below and fill in any answer boxes in your choice.
A.
The solution is xequals
  
enter your response here. ​(Type an integer or a simplified​ fraction.)
B.
The solution is
  
enter your response hereless than or equalsxless than or equals
  
enter your response here. ​(Type integers or simplified​ fractions.)
C.
The solution is xless than or equals
  
enter your response here or xgreater than or equals
  
enter your response here. ​(Type integers or simplified​ fractions.)
D.
The solution is all real numbers.
E.
There is no solution.

Answer 1

Solve |x + 11| ≥ 13.

This gives x + 11 ≤ -13 or x + 11 ≥ 13.

Solve each:
- x + 11 ≤ -13 → x ≤ -24
- x + 11 ≥ 13 → x ≥ 2

So the solution is x ≤ -24 or x ≥ 2.

(Choice C: x ≤ -24 or x ≥ 2.)

Graph: closed dot at -24 with shading to the left, and closed dot at 2 with shading to the right.