Question
Solve the inequality. Graph the solutions.
StartAbsoluteValue x EndAbsoluteValuegreater thanminus10
Question content area bottom
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
enter your response hereless thanxless than
enter your response here. (Type integers or simplified fractions.)
C.
The solution is xequals
enter your response here. (Type an integer or a simplified fraction.)
D.
The solution is all real numbers.
E.
There is no solution.
StartAbsoluteValue x EndAbsoluteValuegreater thanminus10
Question content area bottom
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
enter your response hereless thanxless than
enter your response here. (Type integers or simplified fractions.)
C.
The solution is xequals
enter your response here. (Type an integer or a simplified fraction.)
D.
The solution is all real numbers.
E.
There is no solution.
Answers
GPT-5 mini
D. The solution is all real numbers.
Reason: |x| ≥ 0 for every x, and 0 > −10, so |x| > −10 holds for every x.
Interval notation: (−∞, ∞). Graph: the entire number line shaded.
Reason: |x| ≥ 0 for every x, and 0 > −10, so |x| > −10 holds for every x.
Interval notation: (−∞, ∞). Graph: the entire number line shaded.