OpenStudy (anonymous):

I 3x + 7 I = - I 8x -2I Can somebody explain why my answer key says, that there is no solution to this equation?

7 years ago
OpenStudy (anonymous):

because absolute value cannot be negative

7 years ago
OpenStudy (anonymous):

Refering to the negative 2 inside the symbols, or the negative sign outside them?

7 years ago
OpenStudy (anonymous):

the equation means that the absolute value on the LHS must equal the negative of absolute value on the RHS. but since absolute values cannot be negative, it is impossible for the LHS to be equal to RHS

7 years ago
OpenStudy (anonymous):

(but you need to check for 0, as the absolute value of 0 is 0)

7 years ago
OpenStudy (anonymous):

thanks, lightbulb came on. :)

7 years ago
OpenStudy (anonymous):

yes, andras, but the values of x that make the LHS and RHS 0 are different. so that cannot be a solution

7 years ago
OpenStudy (anonymous):

true true

7 years ago