Question

Describe the values of c for which the equation has no solution.

Answer 1

Answer:

B

Step-by-step explanation:

We are given the equation:

$\displaystyle -\left|3 + x\right| = c$

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:

$\displaystyle \left | 3 + x \right| = -c$

Hence, in order to have no solution, -c must be negative. That is:

$\displaystyle - c < 0$

Simplify:

$\displaystyle c > 0$

Hence, our answer is B.

Answer 2

Answer:

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