Respuesta :
Answer:
- B. the absolute value of 5 minus 3 x equals negative 8
Step-by-step explanation:
The absolute value is never negative as per definition.
- A. |2x - 1| = 0, has solution
- B. |5 - 3x| = - 8, no solution
- C. |-x - 3| = 5, has solution
- D. |-x + 9| = 0, has solution
Correct choice is B
Given :-
- the absolute value of 2 x minus 1 equals 0
- the absolute value of 5 minus 3 x equals negative 8
- the absolute value of negative x minus 3 equals 5
- the absolute value of negative x plus 9 equals 0
To find :-
- Which of the equation has no solution .
Answer :-
Convert the given statement from word form to mathematical form ,
- | 2x - 1| = 0
- | 5 - 3x | = -8
- | -x-3 | = 5
- | - x + 9| = 9
As we know that the modulus function always gives positive values . So from the given options we can see that |5-3x| = -8 , which is not possible .
Hence | 5-3x | = -8 has no solutions .