Question
Solve the inequality. Then graph the solutions.
StartAbsoluteValue 5 x minus 4 EndAbsoluteValueless thannegative 7
Question content area bottom
Part 1
Select the correct choice below and fill in any answer boxes in your choice.
A.
The solution is
enter your response hereless thanxless than
enter your response here. (Type integers or simplified fractions.)
B.
The solution is xless than
enter your response here or xgreater 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 5 x minus 4 EndAbsoluteValueless thannegative 7
Question content area bottom
Part 1
Select the correct choice below and fill in any answer boxes in your choice.
A.
The solution is
enter your response hereless thanxless than
enter your response here. (Type integers or simplified fractions.)
B.
The solution is xless than
enter your response here or xgreater 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
|5x - 4| < -7.
Since |5x - 4| ≥ 0 for all x, it can never be less than -7 (a negative number). Therefore there is no solution.
Choice: E. (Graph: empty — no points satisfy the inequality.)
Since |5x - 4| ≥ 0 for all x, it can never be less than -7 (a negative number). Therefore there is no solution.
Choice: E. (Graph: empty — no points satisfy the inequality.)