Question

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

Answer 1

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.