Question

Solve the inequality. Graph the solutions.
StartAbsoluteValue 2 x plus 5 EndAbsoluteValueless thannegative 4
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Part 1
Select the correct choice below and fill in any answer boxes in your choice.
A.
The solution is xless than
  
enter your response here or xgreater than
  
enter your response here. ​(Type integers or simplified​ fractions.)
B.
The solution is xequals
  
enter your response here. ​(Type an integer or a simplified​ fraction.)
C.
The solution is
  
enter your response hereless thanxless than
  
enter your response here. ​(Type integers or simplified​ fractions.)
D.
The solution is all real numbers.
E.
There is no solution.

Answer 1

E. There is no solution.

Reason: |2x + 5| ≥ 0 for all real x, so it cannot be less than −4. Interval notation: ∅. Graph: no points on the number line (empty set).