Respuesta :
The correct answer is option A
A) Equation 1 and equation 2 have no solutions
For the equation 1
l 3x-1 l +7=2
l 3x-1 l = 2-7 =-5
The absolute value should be positive
So, there is no solution
For the equation 2
l 2x+1 l +4 = 3
l 2x+1 l = 3 - 4= -1
The absolute value should be positive
So, there is no solution
The correct answer is A)
The proof for the veracity is that we have these two equations:
(1) [tex]\left | 3x-1 \right |+7=2[/tex]
∴ [tex]\left | 3x-1 \right |=-5[/tex]
(2) [tex]\left | 2x+1 \right |+4=3[/tex]
∴ [tex]\left | 2x+1 \right |=-1[/tex]
Given that because of the property of Absolute Value Function [tex]\left | 3x-1 \right |\geq0[/tex] and [tex]\left | 2x+1 \right | \geq 0[/tex] (it must be so) then there is not possible for the equation (1) and (2) to be true.
The proof for the veracity is that we have these two equations:
(1) [tex]\left | 3x-1 \right |+7=2[/tex]
∴ [tex]\left | 3x-1 \right |=-5[/tex]
(2) [tex]\left | 2x+1 \right |+4=3[/tex]
∴ [tex]\left | 2x+1 \right |=-1[/tex]
Given that because of the property of Absolute Value Function [tex]\left | 3x-1 \right |\geq0[/tex] and [tex]\left | 2x+1 \right | \geq 0[/tex] (it must be so) then there is not possible for the equation (1) and (2) to be true.