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

-|3+x|=c

a. c≤0
b. c>0
c. c<0
d. c≥0

1 Answer

3 votes

Answer:

B

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.

User Amy McCrobie
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