Answer:
B
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle -\left|3 + x\right| = c[/tex]
And we want to determine the values of c for which the equation has no solution.
Recall that absolute values can only output zero or positive values.
Rewrite the equation:
[tex]\displaystyle \left | 3 + x \right| = -c[/tex]
Hence, in order to have no solution, -c must be negative. That is:
[tex]\displaystyle - c < 0[/tex]
Simplify:
[tex]\displaystyle c > 0[/tex]
Hence, our answer is B.
