Question

describe the values of c for which the equation has no solution. |x+8|=c

Answer 1

an absolute value cannot equal a negative number. So c, if it was a negative number, would have no solution.

Answer 2

When the values of c is negative then the equation has no solution

Explanation

We are given with absolute value equation

$|x+8|=c$

we know that , absolute value function always gives us positive number

|a|=a

|-a|=a

Absolute value never be a negative number , so absolute value of x+8 cannot be negative .

the value of 'c' cannot be negative .

when the value of 'c' is negative then the equation has no solution .

|x+8|= negative , then no solution .

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