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2 years ago

Which equation has no solution?

Mathematics

2 answers:

Alex2 years ago

4 0

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

Aleonysh [2.5K]2 years ago

4 0

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 .

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